565880 has 64 divisors (see below), whose sum is σ = 1520640. Its totient is φ = 185472.

The previous prime is 565867. The next prime is 565889. The reversal of 565880 is 88565.

565880 = T₆₉ + T₇₀ + ... + T₁₅₄.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 565880.

It is not an unprimeable number, because it can be changed into a prime (565889) by changing a digit.

565880 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 15 ways as a sum of consecutive naturals, for example, 12017 + ... + 12063.

It is an arithmetic number, because the mean of its divisors is an integer number (23760).

2⁵⁶⁵⁸⁸⁰ 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 565880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760320).

565880 is an abundant number, since it is smaller than the sum of its proper divisors (954760).

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

565880 is a wasteful number, since it uses less digits than its factorization.

565880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 565880 is about 752.2499584580. The cubic root of 565880 is about 82.7131921013.

The spelling of 565880 in words is "five hundred sixty-five thousand, eight hundred eighty".