566080 has 56 divisors (see below), whose sum is σ = 1417320. Its totient is φ = 215040.

The previous prime is 566077. The next prime is 566089. The reversal of 566080 is 80665.

It can be written as a sum of positive squares in 4 ways, for example, as 576 + 565504 = 24^2 + 752^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (566089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9250 + ... + 9310.

2⁵⁶⁶⁰⁸⁰ 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 566080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708660).

566080 is an abundant number, since it is smaller than the sum of its proper divisors (851240).

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

566080 is a wasteful number, since it uses less digits than its factorization.

566080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 566080 is about 752.3828812513. The cubic root of 566080 is about 82.7229354450.

The spelling of 566080 in words is "five hundred sixty-six thousand, eighty".