286884 has 36 divisors (see below), whose sum is σ = 782236. Its totient is φ = 88128.

The previous prime is 286873. The next prime is 286927. The reversal of 286884 is 488682.

It can be written as a sum of positive squares in 2 ways, for example, as 14400 + 272484 = 120^2 + 522^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 2¹³ + 8² + 8² + 6² + 8⁶ + 4⁷ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 286884.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162 + ... + 774.

2²⁸⁶⁸⁸⁴ 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 286884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391118).

286884 is an abundant number, since it is smaller than the sum of its proper divisors (495352).

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

286884 is a wasteful number, since it uses less digits than its factorization.

286884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 631 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 286884 is about 535.6155337553. The cubic root of 286884 is about 65.9531347739.

The spelling of 286884 in words is "two hundred eighty-six thousand, eight hundred eighty-four".