115656 has 32 divisors (see below), whose sum is σ = 297600. Its totient is φ = 37440.

The previous prime is 115637. The next prime is 115657. The reversal of 115656 is 656511.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 7.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 115656.

It is not an unprimeable number, because it can be changed into a prime (115657) by changing a digit.

115656 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1425 + ... + 1503.

It is an arithmetic number, because the mean of its divisors is an integer number (9300).

2¹¹⁵⁶⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148800).

115656 is an abundant number, since it is smaller than the sum of its proper divisors (181944).

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

115656 is a wasteful number, since it uses less digits than its factorization.

115656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 145 counting only the distinct ones).

The product of its digits is 900, while the sum is 24.

The square root of 115656 is about 340.0823429701. The cubic root of 115656 is about 48.7217324618.

The spelling of 115656 in words is "one hundred fifteen thousand, six hundred fifty-six".