564039168 has 320 divisors, whose sum is σ = 1979873280. Its totient is φ = 138240000.

The previous prime is 564039163. The next prime is 564039193. The reversal of 564039168 is 861930465.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564039163) 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 31 ways as a sum of consecutive naturals, for example, 2247043 + ... + 2247293.

It is an arithmetic number, because the mean of its divisors is an integer number (6187104).

Almost surely, 2^564039168 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 564039168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989936640).

564039168 is an abundant number, since it is smaller than the sum of its proper divisors (1415834112).

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

564039168 is a wasteful number, since it uses less digits than its factorization.

564039168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 564039168 is about 23749.5087949204. The cubic root of 564039168 is about 826.2340481203.

The spelling of 564039168 in words is "five hundred sixty-four million, thirty-nine thousand, one hundred sixty-eight".