12682768 has 40 divisors (see below), whose sum is σ = 28668800. Its totient is φ = 5433120.

The previous prime is 12682763. The next prime is 12682793. The reversal of 12682768 is 86728621.

It is a self number, because there is not a number n which added to its sum of digits gives 12682768.

It is not an unprimeable number, because it can be changed into a prime (12682763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4333 + ... + 6643.

It is an arithmetic number, because the mean of its divisors is an integer number (716720).

Almost surely, 2^12682768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12682768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14334400).

12682768 is an abundant number, since it is smaller than the sum of its proper divisors (15986032).

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

12682768 is an equidigital number, since it uses as much as digits as its factorization.

12682768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2340 (or 2320 counting only the distinct ones).

The product of its digits is 64512, while the sum is 40.

The square root of 12682768 is about 3561.2874076659. The cubic root of 12682768 is about 233.2050850787.

The spelling of 12682768 in words is "twelve million, six hundred eighty-two thousand, seven hundred sixty-eight".