286968 has 32 divisors (see below), whose sum is σ = 783360. Its totient is φ = 86880.

The previous prime is 286927. The next prime is 286973. The reversal of 286968 is 869682.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 286968.

It is an unprimeable number.

286968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 280 + ... + 807.

It is an arithmetic number, because the mean of its divisors is an integer number (24480).

2²⁸⁶⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

286968 is an abundant number, since it is smaller than the sum of its proper divisors (496392).

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

286968 is a wasteful number, since it uses less digits than its factorization.

286968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1103 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 286968 is about 535.6939424709. The cubic root of 286968 is about 65.9595711997.

It can be divided in two parts, 28 and 6968, that added together give a palindrome (6996).

The spelling of 286968 in words is "two hundred eighty-six thousand, nine hundred sixty-eight".