286688 has 36 divisors (see below), whose sum is σ = 618912. Its totient is φ = 130560.

The previous prime is 286687. The next prime is 286697. The reversal of 286688 is 886682.

286688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 286688.

It is not an unprimeable number, because it can be changed into a prime (286687) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9233 + ... + 9263.

It is an arithmetic number, because the mean of its divisors is an integer number (17192).

2²⁸⁶⁶⁸⁸ 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 286688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309456).

286688 is an abundant number, since it is smaller than the sum of its proper divisors (332224).

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

286688 is a wasteful number, since it uses less digits than its factorization.

286688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 50 counting only the distinct ones).

The product of its digits is 36864, while the sum is 38.

The square root of 286688 is about 535.4325354328. The cubic root of 286688 is about 65.9381115597.

The spelling of 286688 in words is "two hundred eighty-six thousand, six hundred eighty-eight".