564774120 has 160 divisors (see below), whose sum is σ = 1959851520. Its totient is φ = 145722240.

The previous prime is 564774109. The next prime is 564774121. The reversal of 564774120 is 21477465.

564774120 is a `hidden beast` number, since 5 + 647 + 7 + 4 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (564774121) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 97629 + ... + 103251.

It is an arithmetic number, because the mean of its divisors is an integer number (12249072).

Almost surely, 2^564774120 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 564774120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979925760).

564774120 is an abundant number, since it is smaller than the sum of its proper divisors (1395077400).

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

564774120 is a wasteful number, since it uses less digits than its factorization.

564774120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5677 (or 5664 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 564774120 is about 23764.9767515140. The cubic root of 564774120 is about 826.5927577292.

The spelling of 564774120 in words is "five hundred sixty-four million, seven hundred seventy-four thousand, one hundred twenty".