683008 has 44 divisors (see below), whose sum is σ = 1473840. Its totient is φ = 315392.

The previous prime is 683003. The next prime is 683021. The reversal of 683008 is 800386.

It is not an unprimeable number, because it can be changed into a prime (683003) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23538 + ... + 23566.

2⁶⁸³⁰⁰⁸ 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 683008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736920).

683008 is an abundant number, since it is smaller than the sum of its proper divisors (790832).

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

683008 is a wasteful number, since it uses less digits than its factorization.

683008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 683008 is about 826.4429804893. The cubic root of 683008 is about 88.0660660909.

The spelling of 683008 in words is "six hundred eighty-three thousand, eight".