506566160 has 20 divisors (see below), whose sum is σ = 1177766508. Its totient is φ = 202626432.

The previous prime is 506566157. The next prime is 506566183. The reversal of 506566160 is 61665605.

It can be written as a sum of positive squares in 2 ways, for example, as 387144976 + 119421184 = 19676^2 + 10928^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 506566160.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3165959 + ... + 3166118.

Almost surely, 2^506566160 is an apocalyptic number.

It is an amenable number.

506566160 is an abundant number, since it is smaller than the sum of its proper divisors (671200348).

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

506566160 is a wasteful number, since it uses less digits than its factorization.

506566160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6332090 (or 6332084 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 506566160 is about 22507.0246811968. The cubic root of 506566160 is about 797.1598035379.

The spelling of 506566160 in words is "five hundred six million, five hundred sixty-six thousand, one hundred sixty".