686588 has 36 divisors (see below), whose sum is σ = 1455552. Its totient is φ = 282240.

The previous prime is 686563. The next prime is 686593. The reversal of 686588 is 885686.

It is a congruent number.

It is an unprimeable number.

686588 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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6020 + ... + 6132.

It is an arithmetic number, because the mean of its divisors is an integer number (40432).

2⁶⁸⁶⁵⁸⁸ 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 686588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727776).

686588 is an abundant number, since it is smaller than the sum of its proper divisors (768964).

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

686588 is a wasteful number, since it uses less digits than its factorization.

686588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 153 counting only the distinct ones).

The product of its digits is 92160, while the sum is 41.

The square root of 686588 is about 828.6060583896. The cubic root of 686588 is about 88.2196647175.

The spelling of 686588 in words is "six hundred eighty-six thousand, five hundred eighty-eight".