45936864 has 36 divisors (see below), whose sum is σ = 130633776. Its totient is φ = 15312192.

The previous prime is 45936827. The next prime is 45936881. The reversal of 45936864 is 46863954.

45936864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×45936864² = 4220390948308992, 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 5 ways as a sum of consecutive naturals, for example, 79464 + ... + 80039.

It is an arithmetic number, because the mean of its divisors is an integer number (3628716).

Almost surely, 2^45936864 is an apocalyptic number.

It is an amenable number.

45936864 is an abundant number, since it is smaller than the sum of its proper divisors (84696912).

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

45936864 is a wasteful number, since it uses less digits than its factorization.

45936864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159519 (or 159508 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 45936864 is about 6777.6739372738. The cubic root of 45936864 is about 358.1407850100.

The spelling of 45936864 in words is "forty-five million, nine hundred thirty-six thousand, eight hundred sixty-four".