115858656 has 144 divisors (see below), whose sum is σ = 358525440. Its totient is φ = 35354880.

The previous prime is 115858651. The next prime is 115858663. The reversal of 115858656 is 656858511.

115858656 is a `hidden beast` number, since 1 + 1 + 585 + 8 + 65 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115858651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169291 + ... + 169973.

It is an arithmetic number, because the mean of its divisors is an integer number (2489760).

Almost surely, 2^115858656 is an apocalyptic number.

115858656 is a gapful number since it is divisible by the number (16) 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 115858656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179262720).

115858656 is an abundant number, since it is smaller than the sum of its proper divisors (242666784).

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

115858656 is a wasteful number, since it uses less digits than its factorization.

115858656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 738 counting only the distinct ones).

The product of its digits is 288000, while the sum is 45.

The square root of 115858656 is about 10763.7658837416. The cubic root of 115858656 is about 487.5017309603.

The spelling of 115858656 in words is "one hundred fifteen million, eight hundred fifty-eight thousand, six hundred fifty-six".