565824 has 56 divisors (see below), whose sum is σ = 1715008. Its totient is φ = 161280.

The previous prime is 565813. The next prime is 565849. The reversal of 565824 is 428565.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 565791 and 565800.

It is an unprimeable number.

565824 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1134 + ... + 1554.

2⁵⁶⁵⁸²⁴ 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 565824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857504).

565824 is an abundant number, since it is smaller than the sum of its proper divisors (1149184).

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

565824 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (565823) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (433).

565824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 433 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 565824 is about 752.2127358667. The cubic root of 565824 is about 82.7104635537.

The spelling of 565824 in words is "five hundred sixty-five thousand, eight hundred twenty-four".