8286820 has 24 divisors (see below), whose sum is σ = 18426744. Its totient is φ = 3119616.

The previous prime is 8286809. The next prime is 8286821. The reversal of 8286820 is 286828.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1115136 + 7171684 = 1056^2 + 2678^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (8286821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11847 + ... + 12526.

It is an arithmetic number, because the mean of its divisors is an integer number (767781).

Almost surely, 2^8286820 is an apocalyptic number.

It is an amenable number.

8286820 is an abundant number, since it is smaller than the sum of its proper divisors (10139924).

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

8286820 is a wasteful number, since it uses less digits than its factorization.

8286820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24399 (or 24397 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 8286820 is about 2878.6837269836. The cubic root of 8286820 is about 202.3621578812.

The spelling of 8286820 in words is "eight million, two hundred eighty-six thousand, eight hundred twenty".