12768000 has 288 divisors, whose sum is σ = 51018240. Its totient is φ = 2764800.

The previous prime is 12767987. The next prime is 12768023. The reversal of 12768000 is 86721.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 671991 + ... + 672009.

Almost surely, 2^12768000 is an apocalyptic number.

12768000 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 12768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25509120).

12768000 is an abundant number, since it is smaller than the sum of its proper divisors (38250240).

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

12768000 is an equidigital number, since it uses as much as digits as its factorization.

12768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 12768000 is about 3573.2338294604. The cubic root of 12768000 is about 233.7263218697.

The spelling of 12768000 in words is "twelve million, seven hundred sixty-eight thousand".