12768714 has 72 divisors (see below), whose sum is σ = 33291648. Its totient is φ = 3522960.

The previous prime is 12768713. The next prime is 12768719. The reversal of 12768714 is 41786721.

12768714 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12768713) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27109 + ... + 27575.

It is an arithmetic number, because the mean of its divisors is an integer number (462384).

Almost surely, 2^12768714 is an apocalyptic number.

12768714 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12768714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16645824).

12768714 is an abundant number, since it is smaller than the sum of its proper divisors (20522934).

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

12768714 is a wasteful number, since it uses less digits than its factorization.

12768714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 510 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 12768714 is about 3573.3337375622. Note that the first 3 decimals coincide. The cubic root of 12768714 is about 233.7306785292.

The spelling of 12768714 in words is "twelve million, seven hundred sixty-eight thousand, seven hundred fourteen".