115575936 has 256 divisors, whose sum is σ = 386457600. Its totient is φ = 29859840.

The previous prime is 115575899. The next prime is 115575947. The reversal of 115575936 is 639575511.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (141750) is a multiple of the sum of its prime divisors (135).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1583196 + ... + 1583268.

It is an arithmetic number, because the mean of its divisors is an integer number (1509600).

Almost surely, 2^115575936 is an apocalyptic number.

115575936 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 115575936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193228800).

115575936 is an abundant number, since it is smaller than the sum of its proper divisors (270881664).

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

115575936 is a wasteful number, since it uses less digits than its factorization.

115575936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 135 counting only the distinct ones).

The product of its digits is 141750, while the sum is 42.

The square root of 115575936 is about 10750.6249120691. The cubic root of 115575936 is about 487.1048716747.

The spelling of 115575936 in words is "one hundred fifteen million, five hundred seventy-five thousand, nine hundred thirty-six".