564623136 has 576 divisors, whose sum is σ = 2219083776. Its totient is φ = 136857600.

The previous prime is 564623131. The next prime is 564623179. The reversal of 564623136 is 631326465.

564623136 is a `hidden beast` number, since 5 + 646 + 2 + 3 + 1 + 3 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 564623136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564623131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13771276 + ... + 13771316.

It is an arithmetic number, because the mean of its divisors is an integer number (3852576).

Almost surely, 2^564623136 is an apocalyptic number.

564623136 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 564623136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109541888).

564623136 is an abundant number, since it is smaller than the sum of its proper divisors (1654460640).

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

564623136 is a wasteful number, since it uses less digits than its factorization.

564623136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 87 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 564623136 is about 23761.7999318233. The cubic root of 564623136 is about 826.5190920521.

It can be divided in two parts, 5646 and 23136, that added together give a palindrome (28782).

The spelling of 564623136 in words is "five hundred sixty-four million, six hundred twenty-three thousand, one hundred thirty-six".