1080 = 2 x 2 x 2 x 3 x 3 x 3 x 5.
1080 is a pentagonal number (A000326).
1080 is the smallest number with 18 divisors. The sum of the divisors of 1080 is a square (A006532).
1080 is the sum (in degrees) of the internal angles of an eight-sided polygon.
1080 is a number that can be expressed as the difference of the squares of primes in just two distinct ways (A090788).
Source: What's Special About This Number?