564811632 has 360 divisors, whose sum is σ = 2117007360. Its totient is φ = 138620160.

The previous prime is 564811607. The next prime is 564811657. The reversal of 564811632 is 236118465.

It is a happy number.

564811632 is a `hidden beast` number, since 5 + 6 + 4 + 8 + 11 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (564811607) and next prime (564811657).

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

It is a congruent number.

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, 1474513 + ... + 1474895.

It is an arithmetic number, because the mean of its divisors is an integer number (5880576).

Almost surely, 2^564811632 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 564811632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058503680).

564811632 is an abundant number, since it is smaller than the sum of its proper divisors (1552195728).

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

564811632 is a wasteful number, since it uses less digits than its factorization.

564811632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 425 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 564811632 is about 23765.7659670375. The cubic root of 564811632 is about 826.6110579428.

The spelling of 564811632 in words is "five hundred sixty-four million, eight hundred eleven thousand, six hundred thirty-two".