585968 has 20 divisors (see below), whose sum is σ = 1158408. Its totient is φ = 287040.

The previous prime is 585953. The next prime is 585989. The reversal of 585968 is 869585.

It is a plaindrome in base 5 and base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 503 + ... + 1193.

2⁵⁸⁵⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

585968 is a deficient number, since it is larger than the sum of its proper divisors (572440).

585968 is a wasteful number, since it uses less digits than its factorization.

585968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 746 counting only the distinct ones).

The product of its digits is 86400, while the sum is 41.

The square root of 585968 is about 765.4854668771. The cubic root of 585968 is about 83.6805706608.

The spelling of 585968 in words is "five hundred eighty-five thousand, nine hundred sixty-eight".