115904256 has 216 divisors, whose sum is σ = 359089920. Its totient is φ = 33067008.

The previous prime is 115904251. The next prime is 115904281. The reversal of 115904256 is 652409511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115904251) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2466025 + ... + 2466071.

Almost surely, 2^115904256 is an apocalyptic number.

115904256 is a gapful number since it is divisible by the number (16) 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 115904256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179544960).

115904256 is an abundant number, since it is smaller than the sum of its proper divisors (243185664).

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

115904256 is a wasteful number, since it uses less digits than its factorization.

115904256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 115904256 is about 10765.8838931135. The cubic root of 115904256 is about 487.5656800395.

The spelling of 115904256 in words is "one hundred fifteen million, nine hundred four thousand, two hundred fifty-six".