564972160 has 64 divisors (see below), whose sum is σ = 1353744000. Its totient is φ = 225469440.

The previous prime is 564972157. The next prime is 564972167. The reversal of 564972160 is 61279465.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is not an unprimeable number, because it can be changed into a prime (564972167) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 403141 + ... + 404539.

It is an arithmetic number, because the mean of its divisors is an integer number (21152250).

Almost surely, 2^564972160 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 564972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676872000).

564972160 is an abundant number, since it is smaller than the sum of its proper divisors (788771840).

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

564972160 is a wasteful number, since it uses less digits than its factorization.

564972160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 564972160 is about 23769.1430219939. The cubic root of 564972160 is about 826.6893623090.

The spelling of 564972160 in words is "five hundred sixty-four million, nine hundred seventy-two thousand, one hundred sixty".