564684960 has 192 divisors, whose sum is σ = 2121541632. Its totient is φ = 123442176.

The previous prime is 564684941. The next prime is 564684961. The reversal of 564684960 is 69486465.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (564684961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73627 + ... + 80933.

It is an arithmetic number, because the mean of its divisors is an integer number (11049696).

Almost surely, 2^564684960 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 564684960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060770816).

564684960 is an abundant number, since it is smaller than the sum of its proper divisors (1556856672).

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

564684960 is a wasteful number, since it uses less digits than its factorization.

564684960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7355 (or 7347 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The square root of 564684960 is about 23763.1008077650. The cubic root of 564684960 is about 826.5492578082.

The spelling of 564684960 in words is "five hundred sixty-four million, six hundred eighty-four thousand, nine hundred sixty".