12648000 has 224 divisors, whose sum is σ = 45646848. Its totient is φ = 3072000.

The previous prime is 12647989. The next prime is 12648001. The reversal of 12648000 is 84621.

It is not an unprimeable number, because it can be changed into a prime (12648001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407985 + ... + 408015.

Almost surely, 2^12648000 is an apocalyptic number.

12648000 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 12648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22823424).

12648000 is an abundant number, since it is smaller than the sum of its proper divisors (32998848).

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

12648000 is a wasteful number, since it uses less digits than its factorization.

12648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 58 counting only the distinct ones).

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

The square root of 12648000 is about 3556.4026768632. The cubic root of 12648000 is about 232.9917905585.

The spelling of 12648000 in words is "twelve million, six hundred forty-eight thousand".