564792168 has 128 divisors (see below), whose sum is σ = 1518652800. Its totient is φ = 174720000.

The previous prime is 564792127. The next prime is 564792169. The reversal of 564792168 is 861297465.

It is not an unprimeable number, because it can be changed into a prime (564792169) 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, 2250043 + ... + 2250293.

It is an arithmetic number, because the mean of its divisors is an integer number (11864475).

Almost surely, 2^564792168 is an apocalyptic number.

564792168 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564792168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759326400).

564792168 is an abundant number, since it is smaller than the sum of its proper divisors (953860632).

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

564792168 is a wasteful number, since it uses less digits than its factorization.

564792168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 399 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 564792168 is about 23765.3564669247. The cubic root of 564792168 is about 826.6015625396.

The spelling of 564792168 in words is "five hundred sixty-four million, seven hundred ninety-two thousand, one hundred sixty-eight".