564965160 has 128 divisors (see below), whose sum is σ = 1739180160. Its totient is φ = 146764800.

The previous prime is 564965143. The next prime is 564965161. The reversal of 564965160 is 61569465.

It is not an unprimeable number, because it can be changed into a prime (564965161) 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, 1341750 + ... + 1342170.

It is an arithmetic number, because the mean of its divisors is an integer number (13587345).

Almost surely, 2^564965160 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 564965160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869590080).

564965160 is an abundant number, since it is smaller than the sum of its proper divisors (1174215000).

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

564965160 is a wasteful number, since it uses less digits than its factorization.

564965160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 564965160 is about 23768.9957718032. The cubic root of 564965160 is about 826.6859480703.

The spelling of 564965160 in words is "five hundred sixty-four million, nine hundred sixty-five thousand, one hundred sixty".