560531664 has 400 divisors, whose sum is σ = 2087116416. Its totient is φ = 141004800.

The previous prime is 560531627. The next prime is 560531693. The reversal of 560531664 is 466135065.

560531664 is a `hidden beast` number, since 5 + 60 + 531 + 6 + 64 = 666.

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 79 ways as a sum of consecutive naturals, for example, 4091404 + ... + 4091540.

Almost surely, 2^560531664 is an apocalyptic number.

560531664 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 560531664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043558208).

560531664 is an abundant number, since it is smaller than the sum of its proper divisors (1526584752).

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

560531664 is a wasteful number, since it uses less digits than its factorization.

560531664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 560531664 is about 23675.5499196956. The cubic root of 560531664 is about 824.5178273392.

The spelling of 560531664 in words is "five hundred sixty million, five hundred thirty-one thousand, six hundred sixty-four".