686712 has 64 divisors (see below), whose sum is σ = 1935360. Its totient is φ = 201600.

The previous prime is 686687. The next prime is 686723. The reversal of 686712 is 217686.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 686712.

It is a congruent number.

It is an unprimeable number.

686712 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9637 + ... + 9707.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2⁶⁸⁶⁷¹² is an apocalyptic number.

686712 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 686712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967680).

686712 is an abundant number, since it is smaller than the sum of its proper divisors (1248648).

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

686712 is a wasteful number, since it uses less digits than its factorization.

686712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 120 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 686712 is about 828.6808794705. The cubic root of 686712 is about 88.2249753162.

The spelling of 686712 in words is "six hundred eighty-six thousand, seven hundred twelve".