286880 has 48 divisors (see below), whose sum is σ = 743904. Its totient is φ = 103680.

The previous prime is 286873. The next prime is 286927. The reversal of 286880 is 88682.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 2¹⁴ + 8² + 8³ + 6⁵ + 8⁶ + 0 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 286880.

It is an unprimeable 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, 1679 + ... + 1841.

It is an arithmetic number, because the mean of its divisors is an integer number (15498).

2²⁸⁶⁸⁸⁰ is an apocalyptic number.

286880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371952).

286880 is an abundant number, since it is smaller than the sum of its proper divisors (457024).

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

286880 is a wasteful number, since it uses less digits than its factorization.

286880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 286880 is about 535.6117997207. The cubic root of 286880 is about 65.9528282461.

The spelling of 286880 in words is "two hundred eighty-six thousand, eight hundred eighty".