560616480 has 144 divisors (see below), whose sum is σ = 2025727704. Its totient is φ = 140697600.

The previous prime is 560616479. The next prime is 560616541. The reversal of 560616480 is 84616065.

560616480 is a `hidden beast` number, since 5 + 6 + 0 + 6 + 1 + 648 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 560552976 + 63504 = 23676^2 + 252^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 13030 + ... + 35930.

Almost surely, 2^560616480 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 560616480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012863852).

560616480 is an abundant number, since it is smaller than the sum of its proper divisors (1465111224).

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

560616480 is a wasteful number, since it uses less digits than its factorization.

560616480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22939 (or 22928 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 560616480 is about 23677.3410669357. The cubic root of 560616480 is about 824.5594121307.

The spelling of 560616480 in words is "five hundred sixty million, six hundred sixteen thousand, four hundred eighty".