286820 has 12 divisors (see below), whose sum is σ = 602364. Its totient is φ = 114720.

The previous prime is 286813. The next prime is 286831. The reversal of 286820 is 28682.

286820 is nontrivially palindromic in base 16.

It can be written as a sum of positive squares in 2 ways, for example, as 40804 + 246016 = 202^2 + 496^2 .

It is a d-powerful number, because it can be written as 2¹³ + 8² + 8⁶ + 6² + 2¹⁴ + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 286820.

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, 7151 + ... + 7190.

It is an arithmetic number, because the mean of its divisors is an integer number (50197).

2²⁸⁶⁸²⁰ is an apocalyptic number.

286820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

286820 is an abundant number, since it is smaller than the sum of its proper divisors (315544).

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

286820 is a wasteful number, since it uses less digits than its factorization.

286820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14350 (or 14348 counting only the distinct ones).

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

The square root of 286820 is about 535.5557860765. Note that the first 3 decimals coincide. The cubic root of 286820 is about 65.9482299872.

The spelling of 286820 in words is "two hundred eighty-six thousand, eight hundred twenty".