30684 has 12 divisors (see below), whose sum is σ = 71624. Its totient is φ = 10224.

The previous prime is 30677. The next prime is 30689. The reversal of 30684 is 48603.

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

It is a self number, because there is not a number n which added to its sum of digits gives 30684.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30689) by changing a digit.

30684 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1267 + ... + 1290.

2³⁰⁶⁸⁴ is an apocalyptic number.

It is an amenable number.

30684 is an abundant number, since it is smaller than the sum of its proper divisors (40940).

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 (35812).

30684 is a wasteful number, since it uses less digits than its factorization.

30684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2564 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 30684 is about 175.1684903172. The cubic root of 30684 is about 31.3067023860.

The spelling of 30684 in words is "thirty thousand, six hundred eighty-four".