115633824 has 24 divisors (see below), whose sum is σ = 303539040. Its totient is φ = 38544576.

The previous prime is 115633823. The next prime is 115633853. The reversal of 115633824 is 428336511.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (115633823) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 602164 + ... + 602355.

It is an arithmetic number, because the mean of its divisors is an integer number (12647460).

Almost surely, 2^115633824 is an apocalyptic number.

It is an amenable number.

115633824 is an abundant number, since it is smaller than the sum of its proper divisors (187905216).

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

115633824 is a wasteful number, since it uses less digits than its factorization.

115633824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204532 (or 1204524 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 115633824 is about 10753.3168836411. The cubic root of 115633824 is about 487.1861827774.

It can be divided in two parts, 1156 and 33824, that added together give a triangular number (34980 = T₂₆₄).

The spelling of 115633824 in words is "one hundred fifteen million, six hundred thirty-three thousand, eight hundred twenty-four".