566961120 has 480 divisors, whose sum is σ = 2259091296. Its totient is φ = 132710400.

The previous prime is 566961113. The next prime is 566961151. The reversal of 566961120 is 21169665.

566961120 is a `hidden beast` number, since 566 + 96 + 1 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5844912 + ... + 5845008.

Almost surely, 2^566961120 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 566961120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129545648).

566961120 is an abundant number, since it is smaller than the sum of its proper divisors (1692130176).

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

566961120 is a wasteful number, since it uses less digits than its factorization.

566961120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 566961120 is about 23810.9453823237. The cubic root of 566961120 is about 827.6583341447.

The spelling of 566961120 in words is "five hundred sixty-six million, nine hundred sixty-one thousand, one hundred twenty".