564805648 has 40 divisors (see below), whose sum is σ = 1197307296. Its totient is φ = 255974400.

The previous prime is 564805589. The next prime is 564805651. The reversal of 564805648 is 846508465.

It is a junction number, because it is equal to n+sod(n) for n = 564805598 and 564805607.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57583 + ... + 66673.

Almost surely, 2^564805648 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 564805648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598653648).

564805648 is an abundant number, since it is smaller than the sum of its proper divisors (632501648).

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

564805648 is a wasteful number, since it uses less digits than its factorization.

564805648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9463 (or 9457 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 46.

The square root of 564805648 is about 23765.6400713299. The cubic root of 564805648 is about 826.6081387052.

It can be divided in two parts, 56480 and 5648, that added together give a triangular number (62128 = T₃₅₂).

The spelling of 564805648 in words is "five hundred sixty-four million, eight hundred five thousand, six hundred forty-eight".