565665120 has 144 divisors (see below), whose sum is σ = 2001963600. Its totient is φ = 150833664.

The previous prime is 565665119. The next prime is 565665137. The reversal of 565665120 is 21566565.

It is a happy number.

565665120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×565665120² = 639954055969228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31606 + ... + 46154.

It is an arithmetic number, because the mean of its divisors is an integer number (13902525).

Almost surely, 2^565665120 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 565665120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000981800).

565665120 is an abundant number, since it is smaller than the sum of its proper divisors (1436298480).

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

565665120 is a wasteful number, since it uses less digits than its factorization.

565665120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14579 (or 14559 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 565665120 is about 23783.7154372482. The cubic root of 565665120 is about 827.0272129430.

The spelling of 565665120 in words is "five hundred sixty-five million, six hundred sixty-five thousand, one hundred twenty".