565920 has 96 divisors (see below), whose sum is σ = 1995840. Its totient is φ = 149760.

The previous prime is 565919. The next prime is 565921. The reversal of 565920 is 29565.

565920 is a `hidden beast` number, since 5 + 659 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (565919) and next prime (565921).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

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 565920.

It is not an unprimeable number, because it can be changed into a prime (565921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4255 + ... + 4385.

It is an arithmetic number, because the mean of its divisors is an integer number (20790).

2⁵⁶⁵⁹²⁰ 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 565920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997920).

565920 is an abundant number, since it is smaller than the sum of its proper divisors (1429920).

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

565920 is a wasteful number, since it uses less digits than its factorization.

565920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 565920 is about 752.2765448956. The cubic root of 565920 is about 82.7151409537.

It can be divided in two parts, 565 and 920, that added together give a triangular number (1485 = T₅₄).

The spelling of 565920 in words is "five hundred sixty-five thousand, nine hundred twenty".