683688 has 32 divisors (see below), whose sum is σ = 1740960. Its totient is φ = 223680.

The previous prime is 683687. The next prime is 683693. The reversal of 683688 is 886386.

683688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (683681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1231 + ... + 1697.

It is an arithmetic number, because the mean of its divisors is an integer number (54405).

2⁶⁸³⁶⁸⁸ 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 683688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870480).

683688 is an abundant number, since it is smaller than the sum of its proper divisors (1057272).

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

683688 is a wasteful number, since it uses less digits than its factorization.

683688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 533 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 683688 is about 826.8542797857. The cubic root of 683688 is about 88.0952824701.

The spelling of 683688 in words is "six hundred eighty-three thousand, six hundred eighty-eight".