683072 has 28 divisors (see below), whose sum is σ = 1461516. Its totient is φ = 314880.

The previous prime is 683071. The next prime is 683083. The reversal of 683072 is 270386.

It can be written as a sum of positive squares in 2 ways, for example, as 141376 + 541696 = 376^2 + 736^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (683071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 422 + ... + 1242.

It is an arithmetic number, because the mean of its divisors is an integer number (52197).

2⁶⁸³⁰⁷² 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 683072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730758).

683072 is an abundant number, since it is smaller than the sum of its proper divisors (778444).

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

683072 is a wasteful number, since it uses less digits than its factorization.

683072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 683072 is about 826.4816997369. The cubic root of 683072 is about 88.0688166942.

Subtracting from 683072 its reverse (270386), we obtain a triangular number (412686 = T₉₀₈).

The spelling of 683072 in words is "six hundred eighty-three thousand, seventy-two".