564390960 has 160 divisors (see below), whose sum is σ = 2064248832. Its totient is φ = 124830720.

The previous prime is 564390947. The next prime is 564390977. The reversal of 564390960 is 69093465.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 46662 + ... + 57498.

Almost surely, 2^564390960 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 564390960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032124416).

564390960 is an abundant number, since it is smaller than the sum of its proper divisors (1499857872).

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

564390960 is a wasteful number, since it uses less digits than its factorization.

564390960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10891 (or 10885 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The square root of 564390960 is about 23756.9139409983. The cubic root of 564390960 is about 826.4057868557.

The spelling of 564390960 in words is "five hundred sixty-four million, three hundred ninety thousand, nine hundred sixty".