63360

63360 is a positive integer. It is even and composite.

Its prime factorization is 63360 = 2^7 × 3^2 × 5 × 11. From this factorization, the number of positive divisors is (7+1)(2+1)(1+1)(1+1) = 96, meaning 63360 has 96 divisors.

The sum of all positive divisors of 63360 is 238,680, so the sum of its proper divisors (238,680 − 63,360 = 175,320) exceeds the number itself. Therefore, 63360 is an abundant number.

63360 is divisible by several notable factors. It is divisible by 360, since 63360 ÷ 360 = 176. It is also divisible by 128 (63360 ÷ 128 = 495) and by 9 (3^2) and by 11, reflecting its prime factorization.

In a time-related context, 63,360 seconds equal 17 hours and 36 minutes, illustrating a practical conversion of the number into a familiar unit of time.

As a value in number theory, 63360 is a large even integer with many divisors and abundant property, arising from its mixture of prime factors 2, 3, 5, and 11. Beyond these basic arithmetic properties, there are no widely recognized constants or notable historical uses specific to the number 63360.