566160 has 80 divisors (see below), whose sum is σ = 2011776. Its totient is φ = 129024.

The previous prime is 566149. The next prime is 566161. The reversal of 566160 is 61665.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 566160.

It is not an unprimeable number, because it can be changed into a prime (566161) by changing a digit.

566160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1512 + ... + 1848.

2⁵⁶⁶¹⁶⁰ 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 566160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005888).

566160 is an abundant number, since it is smaller than the sum of its proper divisors (1445616).

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

566160 is a wasteful number, since it uses less digits than its factorization.

566160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 566160 is about 752.4360437938. The cubic root of 566160 is about 82.7268321399.

It can be divided in two parts, 56 and 6160, that added together give a triangular number (6216 = T₁₁₁).

The spelling of 566160 in words is "five hundred sixty-six thousand, one hundred sixty".