564075168 has 48 divisors (see below), whose sum is σ = 1499460480. Its totient is φ = 185642496.

The previous prime is 564075151. The next prime is 564075179. The reversal of 564075168 is 861570465.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29605 + ... + 44772.

It is an arithmetic number, because the mean of its divisors is an integer number (31238760).

Almost surely, 2^564075168 is an apocalyptic number.

It is an amenable number.

564075168 is an abundant number, since it is smaller than the sum of its proper divisors (935385312).

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

564075168 is a wasteful number, since it uses less digits than its factorization.

564075168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74469 (or 74461 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 564075168 is about 23750.2666932395. The cubic root of 564075168 is about 826.2516259734.

It can be divided in two parts, 5640 and 75168, that added together give a palindrome (80808).

The spelling of 564075168 in words is "five hundred sixty-four million, seventy-five thousand, one hundred sixty-eight".