286208 has 40 divisors (see below), whose sum is σ = 630168. Its totient is φ = 129024.

The previous prime is 286199. The next prime is 286243. The reversal of 286208 is 802682.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a d-powerful number, because it can be written as 2¹¹ + 8² + 2¹² + 6⁷ + 0 + 8² .

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 286208.

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, 6635 + ... + 6677.

2²⁸⁶²⁰⁸ 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 286208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315084).

286208 is an abundant number, since it is smaller than the sum of its proper divisors (343960).

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

286208 is an equidigital number, since it uses as much as digits as its factorization.

286208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 286208 is about 534.9841119136. The cubic root of 286208 is about 65.9012910742.

It can be divided in two parts, 286 and 208, that added together give a palindrome (494).

The spelling of 286208 in words is "two hundred eighty-six thousand, two hundred eight".