560746368 has 256 divisors, whose sum is σ = 2038041600. Its totient is φ = 147806208.

The previous prime is 560746367. The next prime is 560746391. The reversal of 560746368 is 863647065.

560746368 is a `hidden beast` number, since 5 + 6 + 0 + 7 + 4 + 636 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (560746363) 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, 313605 + ... + 315387.

It is an arithmetic number, because the mean of its divisors is an integer number (7961100).

Almost surely, 2^560746368 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 560746368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019020800).

560746368 is an abundant number, since it is smaller than the sum of its proper divisors (1477295232).

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

560746368 is a wasteful number, since it uses less digits than its factorization.

560746368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 560746368 is about 23680.0837836356. The cubic root of 560746368 is about 824.6230873326.

The spelling of 560746368 in words is "five hundred sixty million, seven hundred forty-six thousand, three hundred sixty-eight".