564682880 has 192 divisors, whose sum is σ = 1488041280. Its totient is φ = 204718080.

The previous prime is 564682861. The next prime is 564682889. The reversal of 564682880 is 88286465.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564682889) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7953245 + ... + 7953315.

It is an arithmetic number, because the mean of its divisors is an integer number (7750215).

Almost surely, 2^564682880 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 564682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744020640).

564682880 is an abundant number, since it is smaller than the sum of its proper divisors (923358400).

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

564682880 is a wasteful number, since it uses less digits than its factorization.

564682880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 47.

The square root of 564682880 is about 23763.0570423925. The cubic root of 564682880 is about 826.5482429505.

The spelling of 564682880 in words is "five hundred sixty-four million, six hundred eighty-two thousand, eight hundred eighty".