115553664 has 96 divisors (see below), whose sum is σ = 341630640. Its totient is φ = 37463040.

The previous prime is 115553657. The next prime is 115553677. The reversal of 115553664 is 466355511.

115553664 is a `hidden beast` number, since 11 + 55 + 536 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41269 + ... + 43979.

Almost surely, 2^115553664 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 115553664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170815320).

115553664 is an abundant number, since it is smaller than the sum of its proper divisors (226076976).

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

115553664 is a wasteful number, since it uses less digits than its factorization.

115553664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768 (or 2753 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 115553664 is about 10749.5890153996. The cubic root of 115553664 is about 487.0735805686.

The spelling of 115553664 in words is "one hundred fifteen million, five hundred fifty-three thousand, six hundred sixty-four".