564608880 has 300 divisors, whose sum is σ = 2163546792. Its totient is φ = 135336960.

The previous prime is 564608867. The next prime is 564608881. The reversal of 564608880 is 88806465.

564608880 is a `hidden beast` number, since 564 + 6 + 0 + 8 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564608881) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6343876 + ... + 6343964.

Almost surely, 2^564608880 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 564608880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081773396).

564608880 is an abundant number, since it is smaller than the sum of its proper divisors (1598937912).

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

564608880 is a wasteful number, since it uses less digits than its factorization.

564608880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 564608880 is about 23761.4999526545. The cubic root of 564608880 is about 826.5121358161.

The spelling of 564608880 in words is "five hundred sixty-four million, six hundred eight thousand, eight hundred eighty".