566616960 has 768 divisors, whose sum is σ = 2566287360. Its totient is φ = 111919104.

The previous prime is 566616929. The next prime is 566616979. The reversal of 566616960 is 69616665.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12055657 + ... + 12055703.

It is an arithmetic number, because the mean of its divisors is an integer number (3341520).

Almost surely, 2^566616960 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 566616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283143680).

566616960 is an abundant number, since it is smaller than the sum of its proper divisors (1999670400).

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

566616960 is a wasteful number, since it uses less digits than its factorization.

566616960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 566616960 is about 23803.7173567491. The cubic root of 566616960 is about 827.4908302729.

The spelling of 566616960 in words is "five hundred sixty-six million, six hundred sixteen thousand, nine hundred sixty".