115920864 has 36 divisors (see below), whose sum is σ = 329650776. Its totient is φ = 38640192.

The previous prime is 115920863. The next prime is 115920869. The reversal of 115920864 is 468029511.

115920864 is a `hidden beast` number, since 1 + 1 + 592 + 0 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115920863) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 200964 + ... + 201539.

It is an arithmetic number, because the mean of its divisors is an integer number (9156966).

Almost surely, 2^115920864 is an apocalyptic number.

It is an amenable number.

115920864 is an abundant number, since it is smaller than the sum of its proper divisors (213729912).

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

115920864 is a wasteful number, since it uses less digits than its factorization.

115920864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402519 (or 402508 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 115920864 is about 10766.6551909124. The cubic root of 115920864 is about 487.5889668004.

The spelling of 115920864 in words is "one hundred fifteen million, nine hundred twenty thousand, eight hundred sixty-four".