In mathematics

• Divisor
  Divisor
  In mathematics, a divisor of an integer n, also called a factor of n, is an integer which divides n without leaving a remainder.-Explanation:...
  
  s are 1, 2, 3, 4, 5, 6, 8, 9, 10
  10 (number)
  10 is an even natural number following 9 and preceding 11.-In mathematics:Ten is a composite number, its proper divisors being , and...
  
  , 12
  12 (number)
  12 is the natural number following 11 and preceding 13.The word "twelve" is the largest number with a single-morpheme name in English. Etymology suggests that "twelve" arises from the Germanic compound twalif "two-leftover", so a literal translation would yield "two remaining [after having ten...
  
  , 15
  15 (number)
  15 is the natural number following 14 and preceding 16. In English, it is the smallest natural number with seven letters in its spelled name....
  
  , 18
  18 (number)
  18 is the natural number following 17 and preceding 19.In speech, the numbers 18 and 80 are sometimes confused. When carefully enunciated, they differ in which syllable is stressed: 18 vs 80 . However, in dates such as 1864, or when contrasting numbers in the teens, such as 17, 18, 19, the stress...
  
  , 20
  20 (number)
  20 is the natural number following 19 and preceding 21. A group of twenty units may also be referred to as a score.-In mathematics:*20 is the basis for vigesimal number systems....
  
  , 24
  24 (number)
  24 is the natural number following 23 and preceding 25.The SI prefix for 1024 is yotta , and for 10−24 yocto...
  
  , 30
  30 (number)
  30 is the natural number following 29 and preceding 31.-In mathematics:30 is the sum of the first four squares, which makes it a square pyramidal number.It is a primorial and is the smallest Giuga number....
  
  , 36
  36 (number)
  36 is the natural number following 35 and preceding 37.- In mathematics :36 is both the square of 6 and a triangular number, making it a square triangular number...
  
  , 40
  40 (number)
  40 is the natural number following 39 and preceding 41.Despite being related to the word "four" , 40 is spelled "forty", and not "fourty"...
  
  , 45
  45 (number)
  45 is the natural number following 44 and followed by 46.- In mathematics :Forty-five is a triangular number, a hexagonal and 16-gonal number, a Kaprekar number, and a Harshad number....
  
  , 60
  60 (number)
  60 is the natural number following 59 and preceding 61. Being three times twenty, 60 is called "three score" in some older literature.-In mathematics:...
  
  , 72
  72 (number)
  72 is the natural number following 71 and preceding 73. It is half a gross or 6 dozen .-In mathematics:...
  
  , 90
  90 (number)
  90 is the natural number preceded by 89 and followed by 91.- In mathematics :*Because 90 is the sum of its unitary divisors , it is a unitary perfect number, and because it is equal to the sum of a subset of its divisors, it is a semiperfect number. 90 is a pronic number. But it is also a...
  
  , 120
  120 (number)
  120 is the natural number following 119 and preceding 121. 120 was known as "the great hundred", especially prior to the year 1700, from the Teutonic Hundert which equalled 120. The number 100, now known commonly as "one hundred" was then known as "the small hundred". It is also known as...
  
  , 180
  180 (number)
  180 is the natural number following 179 and preceding 181.-In mathematics:180 is an abundant number, with its proper divisors summing up to 366. 180 is also a highly composite number, a positive integer with more divisors than any smaller positive integer...
  
   and 360. (A total of 24 divisors.)

• 360 makes a highly composite number
  Highly composite number
  A highly composite number is a positive integer with more divisors than any positive integer smaller than itself.The initial or smallest twenty-one highly composite numbers are listed in the table at right....
  
  . Not only is 360 highly composite, but also no number less than twice as much has more divisors. 360 is also a superior highly composite number
  Superior highly composite number
  In mathematics, a superior highly composite number is a certain kind of natural number with the following properties. A natural number n is called superior highly composite if there is an ε > 0 such that for all natural numbers k ≥ 1,...
  
  , a colossally abundant number
  Colossally abundant number
  In mathematics, a colossally abundant number is a natural number that, in some rigorous sense, has a lot of divisors...
  
   and a 5-smooth number
  Smooth number
  In number theory, a smooth number is an integer which factors completely into small prime numbers. The term seems to have been coined by Leonard Adleman. Smooth numbers are especially important in cryptography relying on factorization.-Definition:...
  
  .

• 360 is the smallest number divisible by every natural number from 1 to 10 except 7.

• One of 360's divisors is 72, which is the number of primes below it.

• The sum of Euler's totient function
  Euler's totient function
  In number theory, the totient \varphi of a positive integer n is defined to be the number of positive integers less than or equal to n that are coprime to n In number theory, the totient \varphi(n) of a positive integer n is defined to be the number of positive integers less than or equal to n that...
  
   φ(x) over the first thirty-four integer
  Integer
  The integers are formed by the natural numbers together with the negatives of the non-zero natural numbers .They are known as Positive and Negative Integers respectively...
  
  s is 360.

• A circle
  Circle
  A circle is a simple shape of Euclidean geometry consisting of those points in a plane that are a given distance from a given point, the centre. The distance between any of the points and the centre is called the radius....
  
   is divided into 360 degree
  Degree (angle)
  A degree , usually denoted by ° , is a measurement of plane angle, representing 1⁄360 of a full rotation; one degree is equivalent to π/180 radians...
  
  s for the purpose of angular measurement
  Angle
  In geometry, an angle is the figure formed by two rays sharing a common endpoint, called the vertex of the angle.Angles are usually presumed to be in a Euclidean plane with the circle taken for standard with regard to direction. In fact, an angle is frequently viewed as a measure of an circular arc...
  
  . 360° = 2 π rad
  Radian
  Radian is the ratio between the length of an arc and its radius. The radian is the standard unit of angular measure, used in many areas of mathematics. The unit was formerly a SI supplementary unit, but this category was abolished in 1995 and the radian is now considered a SI derived unit...
  
   is also called a round angle
  Turn (geometry)
  A turn is an angle equal to a 360° or 2 radians or \tau radians. A turn is also referred to as a revolution or complete rotation or full circle or cycle or rev or rot....
  
  . This choice of unit allows round angle to be divided into equal sectors
  Circular sector
  A circular sector or circle sector, is the portion of a disk enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector. In the diagram, θ is the central angle in radians, r the radius of the circle, and L is the arc length of the...
  
   measured in integer degrees rather than fractional degrees. Many angles commonly appearing in planimetrics
  Planimetrics
  -In Concept:Planimetrics has two roots: “planar” and “metrics,” which is a form of the suffix “-metry.” Essentially, the word refers to two-dimensional space, and the art of measuring, respectively.-In Geography:...
  
   have integer number of degrees.

• 360 is the sum of two twin prime
  Twin prime
  A twin prime is a prime number that differs from another prime number by two. Except for the pair , this is the smallest possible difference between two primes. Some examples of twin prime pairs are , , , , and...
  
  s (179 + 181).

In other fields

• The term "360" (assumed 360°, see above) refers to a trick in certain sports such as Freestyle skiing
  Freestyle skiing
  Freestyle skiing is form of skiing which used to encompass two disciplines: aerials, and moguls. Except the two disciplines mentioned earlier Freestyle Skiing now consists of Skicross, Half Pipe and Slope Style...
  
  , Motorcycle stunt riding
  Motorcycle stunt riding
  Motorcycle stunt riding, sometimes referred to as simply stuntriding, is a motorcycle sport characterized by stunts involving acrobatic maneuvering of the motorcycle and sometimes the rider. Common maneuvers in stunt riding include wheelies, stoppies, and burnouts...
  
  , ice dancing
  Ice dancing
  Ice dancing is a form of figure skating which draws from the world of ballroom dancing. It was first competed at the World Figure Skating Championships in 1952, but did not become a Winter Olympic Games medal sport until 1976....
  
  , and acrobatics
  Acrobatics
  Acrobatics is the performance of extraordinary feats of balance, agility and motor coordination. It can be found in many of the performing arts, as well as many sports...
  
  , where the athlete rotates in the air a full 360 degrees
  Turn (geometry)
  A turn is an angle equal to a 360° or 2 radians or \tau radians. A turn is also referred to as a revolution or complete rotation or full circle or cycle or rev or rot....
  
  .
• A year
  Year
  A year is the orbital period of the Earth moving around the Sun. For an observer on Earth, this corresponds to the period it takes the Sun to complete one course throughout the zodiac along the ecliptic....
  
   is roughly calculated as 360 day
  Day
  A day is a unit of time, commonly defined as an interval equal to 24 hours. It also can mean that portion of the full day during which a location is illuminated by the light of the sun...
  
  s; see 360-day calendar.
• "360" is shorthand for panoramic photographs and virtual reality worlds, since it is the degree measurement of a circle.
• 360
  Area code 360
  Area code 360 is the area code for western Washington state outside of metropolitan Seattle. It began service on January 15, 1995. The area, which encompasses all of western Washington outside of urban King, Pierce, and Snohomish counties and Bainbridge Island, was previously part of area code 206...
  
   is a telephone area code
  North American Numbering Plan
  The North American Numbering Plan is an integrated telephone numbering plan administered by Neustar which encompasses 24 countries and territories, including the United States and its territories, Canada, Bermuda, and 16 nations of the Caribbean...
  
   for most of Western Washington state (includes Bellingham, Aberdeen, Olympia, but excludes Seattle area, which is area code 206).
• 360 is the U.S. Citizenship and Immigration Services I-form Petition for Amerasian, Widow(er), or Special Immigrant.
• 360 is a famous model of electric guitar built by Rickenbacker
  Rickenbacker
  Rickenbacker International Corporation, also known as Rickenbacker, is an electric and bass guitar manufacturer based in Santa Ana, California...
  
   Corporation.
• Microsoft Xbox 360, a game console released in the second half of 2000s.