684384 has 24 divisors (see below), whose sum is σ = 1796760. Its totient is φ = 228096.

The previous prime is 684379. The next prime is 684407. The reversal of 684384 is 483486.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3469 + ... + 3660.

It is an arithmetic number, because the mean of its divisors is an integer number (74865).

2⁶⁸⁴³⁸⁴ is an apocalyptic number.

It is an amenable number.

684384 is an abundant number, since it is smaller than the sum of its proper divisors (1112376).

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

684384 is a wasteful number, since it uses less digits than its factorization.

684384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7142 (or 7134 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 684384 is about 827.2750449518. The cubic root of 684384 is about 88.1251662388.

The spelling of 684384 in words is "six hundred eighty-four thousand, three hundred eighty-four".