45664920 has 96 divisors (see below), whose sum is σ = 169621920. Its totient is φ = 10437120.

The previous prime is 45664903. The next prime is 45664933. The reversal of 45664920 is 2946654.

45664920 is a `hidden beast` number, since 4 + 5 + 6 + 649 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6541 + ... + 11580.

It is an arithmetic number, because the mean of its divisors is an integer number (1766895).

Almost surely, 2^45664920 is an apocalyptic number.

45664920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45664920 is an abundant number, since it is smaller than the sum of its proper divisors (123957000).

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

45664920 is a wasteful number, since it uses less digits than its factorization.

45664920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18145 (or 18138 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 45664920 is about 6757.5824079326. The cubic root of 45664920 is about 357.4326604709.

The spelling of 45664920 in words is "forty-five million, six hundred sixty-four thousand, nine hundred twenty".