115395264 has 84 divisors (see below), whose sum is σ = 334624680. Its totient is φ = 38016000.

The previous prime is 115395253. The next prime is 115395281. The reversal of 115395264 is 462593511.

115395264 is a `hidden beast` number, since 1 + 1 + 5 + 395 + 264 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50139 + ... + 52389.

Almost surely, 2^115395264 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 115395264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167312340).

115395264 is an abundant number, since it is smaller than the sum of its proper divisors (219229416).

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

115395264 is a wasteful number, since it uses less digits than its factorization.

115395264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358 (or 2345 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 115395264 is about 10742.2187652272. The cubic root of 115395264 is about 486.8509199949.

The spelling of 115395264 in words is "one hundred fifteen million, three hundred ninety-five thousand, two hundred sixty-four".