115805904 has 80 divisors (see below), whose sum is σ = 319354560. Its totient is φ = 36034560.

The previous prime is 115805891. The next prime is 115805927. The reversal of 115805904 is 409508511.

It is a super-2 number, since 2×115805904² = 26822014802514432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112914 + ... + 113934.

It is an arithmetic number, because the mean of its divisors is an integer number (3991932).

Almost surely, 2^115805904 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 115805904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159677280).

115805904 is an abundant number, since it is smaller than the sum of its proper divisors (203548656).

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

115805904 is a wasteful number, since it uses less digits than its factorization.

115805904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The square root of 115805904 is about 10761.3151612617. The cubic root of 115805904 is about 487.4277310359.

The spelling of 115805904 in words is "one hundred fifteen million, eight hundred five thousand, nine hundred four".