683872 has 48 divisors (see below), whose sum is σ = 1596672. Its totient is φ = 282240.

The previous prime is 683863. The next prime is 683873. The reversal of 683872 is 278386.

It is a happy number.

683872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (683873) by changing a digit.

683872 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 7 ways as a sum of consecutive naturals, for example, 9597 + ... + 9667.

It is an arithmetic number, because the mean of its divisors is an integer number (33264).

2⁶⁸³⁸⁷² 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 683872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798336).

683872 is an abundant number, since it is smaller than the sum of its proper divisors (912800).

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

683872 is a wasteful number, since it uses less digits than its factorization.

683872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 123 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The square root of 683872 is about 826.9655373714. The cubic root of 683872 is about 88.1031847482.

The spelling of 683872 in words is "six hundred eighty-three thousand, eight hundred seventy-two".