560568960 has 192 divisors, whose sum is σ = 2212404480. Its totient is φ = 128120832.

The previous prime is 560568937. The next prime is 560568961. The reversal of 560568960 is 69865065.

560568960 is a `hidden beast` number, since 560 + 5 + 6 + 89 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (560568961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33369 + ... + 47271.

It is an arithmetic number, because the mean of its divisors is an integer number (11522940).

Almost surely, 2^560568960 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 560568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106202240).

560568960 is an abundant number, since it is smaller than the sum of its proper divisors (1651835520).

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

560568960 is a wasteful number, since it uses less digits than its factorization.

560568960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13935 (or 13920 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 560568960 is about 23676.3375546135. The cubic root of 560568960 is about 824.5361138678.

The spelling of 560568960 in words is "five hundred sixty million, five hundred sixty-eight thousand, nine hundred sixty".