686084 has 24 divisors (see below), whose sum is σ = 1391040. Its totient is φ = 290016.

The previous prime is 686057. The next prime is 686087. The reversal of 686084 is 480686.

686084 = 82² + 83² + ... + 137².

It is a super-2 number, since 2×686084² = 941422510112, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 686084.

It is not an unprimeable number, because it can be changed into a prime (686087) by changing a digit.

686084 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 7 ways as a sum of consecutive naturals, for example, 2882 + ... + 3110.

It is an arithmetic number, because the mean of its divisors is an integer number (57960).

2⁶⁸⁶⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

686084 is an abundant number, since it is smaller than the sum of its proper divisors (704956).

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

686084 is a wasteful number, since it uses less digits than its factorization.

686084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 686084 is about 828.3018773370. The cubic root of 686084 is about 88.1980731201.

The spelling of 686084 in words is "six hundred eighty-six thousand, eighty-four".