564601920 has 112 divisors (see below), whose sum is σ = 1799295360. Its totient is φ = 149999616.

The previous prime is 564601903. The next prime is 564601949. The reversal of 564601920 is 29106465.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299541 + ... + 301419.

Almost surely, 2^564601920 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 564601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899647680).

564601920 is an abundant number, since it is smaller than the sum of its proper divisors (1234693440).

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

564601920 is a wasteful number, since it uses less digits than its factorization.

564601920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 564601920 is about 23761.3534968023. The cubic root of 564601920 is about 826.5087396314.

The spelling of 564601920 in words is "five hundred sixty-four million, six hundred one thousand, nine hundred twenty".