6684 has 12 divisors (see below), whose sum is σ = 15624. Its totient is φ = 2224.

The previous prime is 6679. The next prime is 6689. The reversal of 6684 is 4866.

It is an interprime number because it is at equal distance from previous prime (6679) and next prime (6689).

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6689) by changing a digit.

6684 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, 267 + ... + 290.

It is an arithmetic number, because the mean of its divisors is an integer number (1302).

It is an amenable number.

6684 is an abundant number, since it is smaller than the sum of its proper divisors (8940).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7812).

6684 is a wasteful number, since it uses less digits than its factorization.

6684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 562 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 6684 is about 81.7557337439. The cubic root of 6684 is about 18.8370177527.

The spelling of 6684 in words is "six thousand, six hundred eighty-four".