565080 has 64 divisors (see below), whose sum is σ = 1801440. Its totient is φ = 141312.

The previous prime is 565069. The next prime is 565109. The reversal of 565080 is 80565.

565080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 565080.

It is a congruent number.

It is an unprimeable number.

565080 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, 1902 + ... + 2178.

2⁵⁶⁵⁰⁸⁰ 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 565080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900720).

565080 is an abundant number, since it is smaller than the sum of its proper divisors (1236360).

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

565080 is a wasteful number, since it uses less digits than its factorization.

565080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 565080 is about 751.7180322435. The cubic root of 565080 is about 82.6741957531.

The spelling of 565080 in words is "five hundred sixty-five thousand, eighty".