684408 has 16 divisors (see below), whose sum is σ = 1711080. Its totient is φ = 228128.

The previous prime is 684407. The next prime is 684419. The reversal of 684408 is 804486.

684408 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 an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 684408.

It is not an unprimeable number, because it can be changed into a prime (684407) 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, 14235 + ... + 14282.

2⁶⁸⁴⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

684408 is an abundant number, since it is smaller than the sum of its proper divisors (1026672).

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

684408 is a wasteful number, since it uses less digits than its factorization.

684408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28526 (or 28522 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 684408 is about 827.2895502785. The cubic root of 684408 is about 88.1261963522.

The spelling of 684408 in words is "six hundred eighty-four thousand, four hundred eight".