683712 has 42 divisors (see below), whose sum is σ = 1961388. Its totient is φ = 227712.

The previous prime is 683701. The next prime is 683713. The reversal of 683712 is 217386.

683712 = T₁₁₃ + T₁₁₄ + ... + T₁₇₆.

It is not an unprimeable number, because it can be changed into a prime (683713) by changing a digit.

683712 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18 + ... + 1169.

2⁶⁸³⁷¹² 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 683712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980694).

683712 is an abundant number, since it is smaller than the sum of its proper divisors (1277676).

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

683712 is a wasteful number, since it uses less digits than its factorization.

683712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1192 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 683712 is about 826.8687924937. The cubic root of 683712 is about 88.0963132824.

The spelling of 683712 in words is "six hundred eighty-three thousand, seven hundred twelve".