115680 has 48 divisors (see below), whose sum is σ = 365904. Its totient is φ = 30720.

The previous prime is 115679. The next prime is 115693. The reversal of 115680 is 86511.

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 2 and base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 360 + ... + 600.

It is an arithmetic number, because the mean of its divisors is an integer number (7623).

2¹¹⁵⁶⁸⁰ is an apocalyptic number.

115680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182952).

115680 is an abundant number, since it is smaller than the sum of its proper divisors (250224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

115680 is a wasteful number, since it uses less digits than its factorization.

115680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 115680 is about 340.1176267117. The cubic root of 115680 is about 48.7251023423.

Subtracting from 115680 its product of nonzero digits (240), we obtain a triangular number (115440 = T₄₈₀).

The spelling of 115680 in words is "one hundred fifteen thousand, six hundred eighty".