564940320 has 192 divisors, whose sum is σ = 2043740160. Its totient is φ = 128498688.

The previous prime is 564940301. The next prime is 564940333. The reversal of 564940320 is 23049465.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1286661 + ... + 1287099.

It is an arithmetic number, because the mean of its divisors is an integer number (10644480).

Almost surely, 2^564940320 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 564940320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021870080).

564940320 is an abundant number, since it is smaller than the sum of its proper divisors (1478799840).

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

564940320 is a wasteful number, since it uses less digits than its factorization.

564940320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 564940320 is about 23768.4732366217. The cubic root of 564940320 is about 826.6738321728.

Adding to 564940320 its reverse (23049465), we get a palindrome (587989785).

The spelling of 564940320 in words is "five hundred sixty-four million, nine hundred forty thousand, three hundred twenty".