12768640 has 64 divisors (see below), whose sum is σ = 31065120. Its totient is φ = 5017600.

The previous prime is 12768619. The next prime is 12768641. The reversal of 12768640 is 4686721.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 12768596 and 12768605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12768641) 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, 45300 + ... + 45580.

Almost surely, 2^12768640 is an apocalyptic number.

12768640 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 12768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15532560).

12768640 is an abundant number, since it is smaller than the sum of its proper divisors (18296480).

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

12768640 is an equidigital number, since it uses as much as digits as its factorization.

12768640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 12768640 is about 3573.3233830707. The cubic root of 12768640 is about 233.7302270062.

The spelling of 12768640 in words is "twelve million, seven hundred sixty-eight thousand, six hundred forty".