560888064 has 180 divisors, whose sum is σ = 1825251120. Its totient is φ = 169896960.

The previous prime is 560888063. The next prime is 560888093. The reversal of 560888064 is 460888065.

560888064 is a `hidden beast` number, since 560 + 8 + 8 + 80 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (560888063) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 226867 + ... + 229325.

It is an arithmetic number, because the mean of its divisors is an integer number (10140284).

Almost surely, 2^560888064 is an apocalyptic number.

560888064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 560888064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912625560).

560888064 is an abundant number, since it is smaller than the sum of its proper divisors (1264363056).

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

560888064 is a wasteful number, since it uses less digits than its factorization.

560888064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 560888064 is about 23683.0754759596. The cubic root of 560888064 is about 824.6925399759.

Subtracting from 560888064 its reverse (460888065), we obtain a palindrome (99999999).

The spelling of 560888064 in words is "five hundred sixty million, eight hundred eighty-eight thousand, sixty-four".