286836 has 48 divisors (see below), whose sum is σ = 762048. Its totient is φ = 83200.

The previous prime is 286831. The next prime is 286859. The reversal of 286836 is 638682.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 286797 and 286806.

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 286836.

It is not an unprimeable number, because it can be changed into a prime (286831) by changing a digit.

286836 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 (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5386 + ... + 5438.

It is an arithmetic number, because the mean of its divisors is an integer number (15876).

2²⁸⁶⁸³⁶ 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 286836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381024).

286836 is an abundant number, since it is smaller than the sum of its proper divisors (475212).

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

286836 is a wasteful number, since it uses less digits than its factorization.

286836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 110 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 286836 is about 535.5707236211. The cubic root of 286836 is about 65.9494562522.

The spelling of 286836 in words is "two hundred eighty-six thousand, eight hundred thirty-six".