564057648 has 320 divisors, whose sum is σ = 2087485440. Its totient is φ = 141523200.

The previous prime is 564057643. The next prime is 564057719. The reversal of 564057648 is 846750465.

It is a super-2 number, since 2×564057648² = 636322060534583808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (564057643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1030911 + ... + 1031457.

It is an arithmetic number, because the mean of its divisors is an integer number (6523392).

Almost surely, 2^564057648 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 564057648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043742720).

564057648 is an abundant number, since it is smaller than the sum of its proper divisors (1523427792).

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

564057648 is a wasteful number, since it uses less digits than its factorization.

564057648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 564057648 is about 23749.8978524119. The cubic root of 564057648 is about 826.2430715117.

The spelling of 564057648 in words is "five hundred sixty-four million, fifty-seven thousand, six hundred forty-eight".