683168 has 24 divisors (see below), whose sum is σ = 1383732. Its totient is φ = 331776.

The previous prime is 683159. The next prime is 683201. The reversal of 683168 is 861386.

It can be written as a sum of positive squares in 2 ways, for example, as 478864 + 204304 = 692^2 + 452^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

683168 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 3 ways as a sum of consecutive naturals, for example, 896 + ... + 1472.

2⁶⁸³¹⁶⁸ 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 683168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691866).

683168 is an abundant number, since it is smaller than the sum of its proper divisors (700564).

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

683168 is a wasteful number, since it uses less digits than its factorization.

683168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 616 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 683168 is about 826.5397752075. The cubic root of 683168 is about 88.0729422770.

The spelling of 683168 in words is "six hundred eighty-three thousand, one hundred sixty-eight".