12768642 has 48 divisors (see below), whose sum is σ = 29161080. Its totient is φ = 4032000.

The previous prime is 12768641. The next prime is 12768667. The reversal of 12768642 is 24686721.

12768642 is a `hidden beast` number, since 1 + 2 + 7 + 6 + 8 + 642 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11350161 + 1418481 = 3369^2 + 1191^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12768597 and 12768606.

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 23 ways as a sum of consecutive naturals, for example, 31642 + ... + 32042.

Almost surely, 2^12768642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12768642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14580540).

12768642 is an abundant number, since it is smaller than the sum of its proper divisors (16392438).

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

12768642 is a wasteful number, since it uses less digits than its factorization.

12768642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 496 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 12768642 is about 3573.3236629222. The cubic root of 12768642 is about 233.7302392095.

The spelling of 12768642 in words is "twelve million, seven hundred sixty-eight thousand, six hundred forty-two".