565760 has 80 divisors (see below), whose sum is σ = 1546776. Its totient is φ = 196608.

The previous prime is 565727. The next prime is 565769. The reversal of 565760 is 67565.

It can be written as a sum of positive squares in 4 ways, for example, as 430336 + 135424 = 656^2 + 368^2 .

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

It is not an unprimeable number, because it can be changed into a prime (565769) by changing a digit.

565760 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33272 + ... + 33288.

2⁵⁶⁵⁷⁶⁰ 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 565760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773388).

565760 is an abundant number, since it is smaller than the sum of its proper divisors (981016).

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

565760 is a wasteful number, since it uses less digits than its factorization.

565760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 565760 is about 752.1701935068. The cubic root of 565760 is about 82.7073449932.

The spelling of 565760 in words is "five hundred sixty-five thousand, seven hundred sixty".