684008 has 16 divisors (see below), whose sum is σ = 1381380. Its totient is φ = 315648.

The previous prime is 684007. The next prime is 684017. The reversal of 684008 is 800486.

It can be written as a sum of positive squares in 2 ways, for example, as 669124 + 14884 = 818^2 + 122^2 .

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 (684007) 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, 3185 + ... + 3392.

2⁶⁸⁴⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

684008 is an abundant number, since it is smaller than the sum of its proper divisors (697372).

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

684008 is a wasteful number, since it uses less digits than its factorization.

684008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6596 (or 6592 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 684008 is about 827.0477616196. The cubic root of 684008 is about 88.1090246514.

The spelling of 684008 in words is "six hundred eighty-four thousand, eight".