12684 has 24 divisors (see below), whose sum is σ = 34048. Its totient is φ = 3600.

The previous prime is 12671. The next prime is 12689. The reversal of 12684 is 48621.

12684 = T₁₅ + T₁₆ + ... + T₄₂.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 12.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 12684.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9 + ... + 159.

2¹²⁶⁸⁴ is an apocalyptic number.

12684 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17024).

12684 is an abundant number, since it is smaller than the sum of its proper divisors (21364).

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

12684 is a wasteful number, since it uses less digits than its factorization.

12684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 163 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 12684 is about 112.6232658024. The cubic root of 12684 is about 23.3212635990.

Subtracting 12684 from its reverse (48621), we obtain a cube (35937 = 33³).

It can be divided in two parts, 126 and 84, that added together give a triangular number (210 = T₂₀).

The spelling of 12684 in words is "twelve thousand, six hundred eighty-four".