564630880 has 96 divisors (see below), whose sum is σ = 1460356128. Its totient is φ = 204595200.

The previous prime is 564630853. The next prime is 564630883. The reversal of 564630880 is 88036465.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564630883) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 951864 + ... + 952456.

It is an arithmetic number, because the mean of its divisors is an integer number (15212043).

Almost surely, 2^564630880 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 564630880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730178064).

564630880 is an abundant number, since it is smaller than the sum of its proper divisors (895725248).

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

564630880 is a wasteful number, since it uses less digits than its factorization.

564630880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 564630880 is about 23761.9628818833. The cubic root of 564630880 is about 826.5228706991.

The spelling of 564630880 in words is "five hundred sixty-four million, six hundred thirty thousand, eight hundred eighty".