564700032 has 128 divisors (see below), whose sum is σ = 1794996000. Its totient is φ = 173740032.

The previous prime is 564700027. The next prime is 564700043. The reversal of 564700032 is 230007465.

It is a happy number.

564700032 is a `hidden beast` number, since 564 + 70 + 0 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×564700032² = 637772252281602048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 564699969 and 564700005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38644 + ... + 51212.

Almost surely, 2^564700032 is an apocalyptic number.

564700032 is a gapful number since it is divisible by the number (52) 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 564700032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897498000).

564700032 is an abundant number, since it is smaller than the sum of its proper divisors (1230295968).

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

564700032 is a wasteful number, since it uses less digits than its factorization.

564700032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12605 (or 12587 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 564700032 is about 23763.4179359788. The cubic root of 564700032 is about 826.5566115484.

Adding to 564700032 its reverse (230007465), we get a palindrome (794707497).

The spelling of 564700032 in words is "five hundred sixty-four million, seven hundred thousand, thirty-two".