45664560 has 200 divisors, whose sum is σ = 164743920. Its totient is φ = 11757312.

The previous prime is 45664559. The next prime is 45664571. The reversal of 45664560 is 6546654.

It is a happy number.

45664560 is a `hidden beast` number, since 4 + 5 + 6 + 645 + 6 + 0 = 666.

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

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 39 ways as a sum of consecutive naturals, for example, 1574626 + ... + 1574654.

Almost surely, 2^45664560 is an apocalyptic number.

45664560 is a gapful number since it is divisible by the number (40) 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 45664560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82371960).

45664560 is an abundant number, since it is smaller than the sum of its proper divisors (119079360).

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

45664560 is an frugal number, since it uses more digits than its factorization.

45664560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 45664560 is about 6757.5557711350. Note that the first 3 decimals coincide. The cubic root of 45664560 is about 357.4317211934.

The spelling of 45664560 in words is "forty-five million, six hundred sixty-four thousand, five hundred sixty".