115914624 has 128 divisors (see below), whose sum is σ = 364262400. Its totient is φ = 31954944.

The previous prime is 115914607. The next prime is 115914637. The reversal of 115914624 is 426419511.

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

It is a super-2 number, since 2×115914624² = 26872400114122752, which contains 22 as substring.

It is a congruent number.

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, 77209 + ... + 78695.

It is an arithmetic number, because the mean of its divisors is an integer number (2845800).

Almost surely, 2^115914624 is an apocalyptic number.

115914624 is a gapful number since it is divisible by the number (14) 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 115914624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182131200).

115914624 is an abundant number, since it is smaller than the sum of its proper divisors (248347776).

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

115914624 is a wasteful number, since it uses less digits than its factorization.

115914624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1528 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 115914624 is about 10766.3654034219. The cubic root of 115914624 is about 487.5802177002.

The spelling of 115914624 in words is "one hundred fifteen million, nine hundred fourteen thousand, six hundred twenty-four".