12684000 has 192 divisors, whose sum is σ = 47803392. Its totient is φ = 2880000.

The previous prime is 12683999. The next prime is 12684019. The reversal of 12684000 is 48621.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83925 + ... + 84075.

It is an arithmetic number, because the mean of its divisors is an integer number (248976).

Almost surely, 2^12684000 is an apocalyptic number.

12684000 is a gapful number since it is divisible by the number (10) 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 12684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23901696).

12684000 is an abundant number, since it is smaller than the sum of its proper divisors (35119392).

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

12684000 is a wasteful number, since it uses less digits than its factorization.

12684000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 168 counting only the distinct ones).

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

The square root of 12684000 is about 3561.4603746216. The cubic root of 12684000 is about 233.2126359898.

The spelling of 12684000 in words is "twelve million, six hundred eighty-four thousand".