564022080 has 336 divisors, whose sum is σ = 2047768320. Its totient is φ = 142331904.

The previous prime is 564022061. The next prime is 564022097. The reversal of 564022080 is 80220465.

564022080 is a `hidden beast` number, since 56 + 402 + 208 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7139481 + ... + 7139559.

Almost surely, 2^564022080 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 564022080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023884160).

564022080 is an abundant number, since it is smaller than the sum of its proper divisors (1483746240).

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

564022080 is a wasteful number, since it uses less digits than its factorization.

564022080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 564022080 is about 23749.1490373866. The cubic root of 564022080 is about 826.2257042376.

The spelling of 564022080 in words is "five hundred sixty-four million, twenty-two thousand, eighty".