113604864 has 72 divisors (see below), whose sum is σ = 308169792. Its totient is φ = 37140480.

The previous prime is 113604853. The next prime is 113604877. The reversal of 113604864 is 468406311.

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 7 ways as a sum of consecutive naturals, for example, 39309 + ... + 42099.

It is an arithmetic number, because the mean of its divisors is an integer number (4280136).

Almost surely, 2^113604864 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 113604864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154084896).

113604864 is an abundant number, since it is smaller than the sum of its proper divisors (194564928).

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

113604864 is an equidigital number, since it uses as much as digits as its factorization.

113604864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2863 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 113604864 is about 10658.5582514710. The cubic root of 113604864 is about 484.3198941625.

The spelling of 113604864 in words is "one hundred thirteen million, six hundred four thousand, eight hundred sixty-four".