115856 has 20 divisors (see below), whose sum is σ = 242172. Its totient is φ = 53376.

The previous prime is 115853. The next prime is 115859. The reversal of 115856 is 658511.

It is an interprime number because it is at equal distance from previous prime (115853) and next prime (115859).

It can be written as a sum of positive squares in 2 ways, for example, as 13456 + 102400 = 116^2 + 320^2 .

It is a super-2 number, since 2×115856² = 26845225472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 115856.

It is not an unprimeable number, because it can be changed into a prime (115853) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71 + ... + 486.

2¹¹⁵⁸⁵⁶ is an apocalyptic number.

115856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

115856 is an abundant number, since it is smaller than the sum of its proper divisors (126316).

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

115856 is a wasteful number, since it uses less digits than its factorization.

115856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 572 counting only the distinct ones).

The product of its digits is 1200, while the sum is 26.

The square root of 115856 is about 340.3762623921. The cubic root of 115856 is about 48.7498005690.

The spelling of 115856 in words is "one hundred fifteen thousand, eight hundred fifty-six".