12768768 has 120 divisors (see below), whose sum is σ = 39258648. Its totient is φ = 3981312.

The previous prime is 12768761. The next prime is 12768773. The reversal of 12768768 is 86786721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12768761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78255 + ... + 78417.

Almost surely, 2^12768768 is an apocalyptic number.

12768768 is a gapful number since it is divisible by the number (18) 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 12768768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19629324).

12768768 is an abundant number, since it is smaller than the sum of its proper divisors (26489880).

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

12768768 is a wasteful number, since it uses less digits than its factorization.

12768768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 185 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 12768768 is about 3573.3412935235. The cubic root of 12768768 is about 233.7310080178.

The spelling of 12768768 in words is "twelve million, seven hundred sixty-eight thousand, seven hundred sixty-eight".