564557616 has 360 divisors, whose sum is σ = 1984694400. Its totient is φ = 149022720.

The previous prime is 564557603. The next prime is 564557629. The reversal of 564557616 is 616755465.

564557616 is a `hidden beast` number, since 5 + 64 + 5 + 576 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (564557603) and next prime (564557629).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6343300 + ... + 6343388.

It is an arithmetic number, because the mean of its divisors is an integer number (5513040).

Almost surely, 2^564557616 is an apocalyptic number.

564557616 is a gapful number since it is divisible by the number (56) 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 564557616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992347200).

564557616 is an abundant number, since it is smaller than the sum of its proper divisors (1420136784).

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

564557616 is a wasteful number, since it uses less digits than its factorization.

564557616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 161 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The square root of 564557616 is about 23760.4212083877. The cubic root of 564557616 is about 826.4871205049.

The spelling of 564557616 in words is "five hundred sixty-four million, five hundred fifty-seven thousand, six hundred sixteen".