686504 has 64 divisors (see below), whose sum is σ = 1693440. Its totient is φ = 253440.

The previous prime is 686503. The next prime is 686513. The reversal of 686504 is 405686.

686504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 686504.

It is not an unprimeable number, because it can be changed into a prime (686503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16724 + ... + 16764.

It is an arithmetic number, because the mean of its divisors is an integer number (26460).

2⁶⁸⁶⁵⁰⁴ 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 686504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846720).

686504 is an abundant number, since it is smaller than the sum of its proper divisors (1006936).

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

686504 is a wasteful number, since it uses less digits than its factorization.

686504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 686504 is about 828.5553693025. Note that the first 3 decimals coincide. The cubic root of 686504 is about 88.2160668519.

It can be divided in two parts, 686 and 504, that multiplied together give a square (345744 = 588²).

The spelling of 686504 in words is "six hundred eighty-six thousand, five hundred four".