115560 has 64 divisors (see below), whose sum is σ = 388800. Its totient is φ = 30528.

The previous prime is 115553. The next prime is 115561. The reversal of 115560 is 65511.

115560 = T₁₄₇ + T₁₄₈ + ... + T₁₅₆.

It is a super-2 number, since 2×115560² = 26708227200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (115561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1027 + ... + 1133.

It is an arithmetic number, because the mean of its divisors is an integer number (6075).

2¹¹⁵⁵⁶⁰ is an apocalyptic number.

115560 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 115560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194400).

115560 is an abundant number, since it is smaller than the sum of its proper divisors (273240).

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

115560 is a wasteful number, since it uses less digits than its factorization.

115560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 115560 is about 339.9411713812. The cubic root of 115560 is about 48.7082482758.

The spelling of 115560 in words is "one hundred fifteen thousand, five hundred sixty".