286980 has 24 divisors (see below), whose sum is σ = 803712. Its totient is φ = 76512.

The previous prime is 286973. The next prime is 286981. The reversal of 286980 is 89682.

286980 is nontrivially palindromic in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 286980.

It is not an unprimeable number, because it can be changed into a prime (286981) by changing a digit.

286980 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, 2332 + ... + 2451.

It is an arithmetic number, because the mean of its divisors is an integer number (33488).

2²⁸⁶⁹⁸⁰ is an apocalyptic number.

286980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

286980 is an abundant number, since it is smaller than the sum of its proper divisors (516732).

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

286980 is a wasteful number, since it uses less digits than its factorization.

286980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4795 (or 4793 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 286980 is about 535.7051427791. The cubic root of 286980 is about 65.9604905865.

The spelling of 286980 in words is "two hundred eighty-six thousand, nine hundred eighty".