564923520 has 192 divisors, whose sum is σ = 2229589440. Its totient is φ = 129116160.

The previous prime is 564923507. The next prime is 564923531. The reversal of 564923520 is 25329465.

564923520 is a `hidden beast` number, since 5 + 649 + 2 + 3 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

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, 33315 + ... + 47325.

It is an arithmetic number, because the mean of its divisors is an integer number (11612445).

Almost surely, 2^564923520 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 564923520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114794720).

564923520 is an abundant number, since it is smaller than the sum of its proper divisors (1664665920).

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

564923520 is a wasteful number, since it uses less digits than its factorization.

564923520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14043 (or 14028 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 564923520 is about 23768.1198246727. The cubic root of 564923520 is about 826.6656376447.

The spelling of 564923520 in words is "five hundred sixty-four million, nine hundred twenty-three thousand, five hundred twenty".