564010560 has 224 divisors, whose sum is σ = 2059228800. Its totient is φ = 145152000.

The previous prime is 564010553. The next prime is 564010561. The reversal of 564010560 is 65010465.

It is a happy number.

564010560 is a `hidden beast` number, since 5 + 640 + 10 + 5 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (564010561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249435 + ... + 251685.

Almost surely, 2^564010560 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 564010560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029614400).

564010560 is an abundant number, since it is smaller than the sum of its proper divisors (1495218240).

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

564010560 is a wasteful number, since it uses less digits than its factorization.

564010560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2306 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 564010560 is about 23748.9065011423. The cubic root of 564010560 is about 826.2200790530.

The spelling of 564010560 in words is "five hundred sixty-four million, ten thousand, five hundred sixty".