115979904 has 128 divisors (see below), whose sum is σ = 351940800. Its totient is φ = 37573632.

The previous prime is 115979891. The next prime is 115979921. The reversal of 115979904 is 409979511.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 115979904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127419 + ... + 128325.

Almost surely, 2^115979904 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 115979904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175970400).

115979904 is an abundant number, since it is smaller than the sum of its proper divisors (235960896).

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

115979904 is an equidigital number, since it uses as much as digits as its factorization.

115979904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The square root of 115979904 is about 10769.3966404808. The cubic root of 115979904 is about 487.6717312133.

The spelling of 115979904 in words is "one hundred fifteen million, nine hundred seventy-nine thousand, nine hundred four".