565832320 has 64 divisors (see below), whose sum is σ = 1357446600. Its totient is φ = 225538048.

The previous prime is 565832303. The next prime is 565832321. The reversal of 565832320 is 23238565.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 346555456 + 219276864 = 18616^2 + 14808^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (565832321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201486 + ... + 204274.

Almost surely, 2^565832320 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 565832320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678723300).

565832320 is an abundant number, since it is smaller than the sum of its proper divisors (791614280).

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

565832320 is a wasteful number, since it uses less digits than its factorization.

565832320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3125 (or 3113 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 565832320 is about 23787.2301876448. The cubic root of 565832320 is about 827.1086894934.

The spelling of 565832320 in words is "five hundred sixty-five million, eight hundred thirty-two thousand, three hundred twenty".