565968 has 40 divisors (see below), whose sum is σ = 1576288. Its totient is φ = 173952.

The previous prime is 565937. The next prime is 565973. The reversal of 565968 is 869565.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

565968 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171 + ... + 1077.

2⁵⁶⁵⁹⁶⁸ 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 565968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788144).

565968 is an abundant number, since it is smaller than the sum of its proper divisors (1010320).

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

565968 is a wasteful number, since it uses less digits than its factorization.

565968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 925 counting only the distinct ones).

The product of its digits is 64800, while the sum is 39.

The square root of 565968 is about 752.3084473805. The cubic root of 565968 is about 82.7174794553.

The spelling of 565968 in words is "five hundred sixty-five thousand, nine hundred sixty-eight".