560972160 has 192 divisors, whose sum is σ = 2213995680. Its totient is φ = 128212992.

The previous prime is 560972141. The next prime is 560972219. The reversal of 560972160 is 61279065.

560972160 is a `hidden beast` number, since 560 + 97 + 2 + 1 + 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33364 + ... + 47276.

Almost surely, 2^560972160 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 560972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106997840).

560972160 is an abundant number, since it is smaller than the sum of its proper divisors (1653023520).

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

560972160 is a wasteful number, since it uses less digits than its factorization.

560972160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13945 (or 13930 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 560972160 is about 23684.8508545019. The cubic root of 560972160 is about 824.7337543063.

The spelling of 560972160 in words is "five hundred sixty million, nine hundred seventy-two thousand, one hundred sixty".