115638912 has 96 divisors (see below), whose sum is σ = 341882580. Its totient is φ = 37490688.

The previous prime is 115638899. The next prime is 115638923. The reversal of 115638912 is 219836511.

115638912 is a `hidden beast` number, since 1 + 1 + 5 + 638 + 9 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 82737216 + 32901696 = 9096^2 + 5736^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41268 + ... + 43980.

Almost surely, 2^115638912 is an apocalyptic number.

115638912 is a gapful number since it is divisible by the number (12) 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 115638912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170941290).

115638912 is an abundant number, since it is smaller than the sum of its proper divisors (226243668).

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

115638912 is a wasteful number, since it uses less digits than its factorization.

115638912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2770 (or 2755 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 115638912 is about 10753.5534592059. The cubic root of 115638912 is about 487.1933282269.

The spelling of 115638912 in words is "one hundred fifteen million, six hundred thirty-eight thousand, nine hundred twelve".