564011520 has 320 divisors, whose sum is σ = 1961017344. Its totient is φ = 137871360.

The previous prime is 564011509. The next prime is 564011527. The reversal of 564011520 is 25110465.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (564011527) 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, 5475789 + ... + 5475891.

Almost surely, 2^564011520 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 564011520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980508672).

564011520 is an abundant number, since it is smaller than the sum of its proper divisors (1397005824).

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

564011520 is a wasteful number, since it uses less digits than its factorization.

564011520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 564011520 is about 23748.9267125906. The cubic root of 564011520 is about 826.2205478213.

Adding to 564011520 its reverse (25110465), we get a palindrome (589121985).

The spelling of 564011520 in words is "five hundred sixty-four million, eleven thousand, five hundred twenty".