564162560 has 156 divisors (see below), whose sum is σ = 1474969752. Its totient is φ = 207028224.

The previous prime is 564162539. The next prime is 564162563. The reversal of 564162560 is 65261465.

It is a self number, because there is not a number n which added to its sum of digits gives 564162560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564162563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3461039 + ... + 3461201.

Almost surely, 2^564162560 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 564162560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737484876).

564162560 is an abundant number, since it is smaller than the sum of its proper divisors (910807192).

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

564162560 is a wasteful number, since it uses less digits than its factorization.

564162560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 564162560 is about 23752.1064329040. The cubic root of 564162560 is about 826.2942940772.

The spelling of 564162560 in words is "five hundred sixty-four million, one hundred sixty-two thousand, five hundred sixty".