12768041 has 12 divisors (see below), whose sum is σ = 15115716. Its totient is φ = 10713120.

The previous prime is 12768031. The next prime is 12768047. The reversal of 12768041 is 14086721.

It can be written as a sum of positive squares in 2 ways, for example, as 6911641 + 5856400 = 2629^2 + 2420^2 .

It is not a de Polignac number, because 12768041 - 2⁶ = 12767977 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12767995 and 12768013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12768047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2486 + ... + 5631.

It is an arithmetic number, because the mean of its divisors is an integer number (1259643).

Almost surely, 2^12768041 is an apocalyptic number.

12768041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12768041 is a deficient number, since it is larger than the sum of its proper divisors (2347675).

12768041 is a wasteful number, since it uses less digits than its factorization.

12768041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8152 (or 8141 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 12768041 is about 3573.2395665558. The cubic root of 12768041 is about 233.7265720464.

It can be divided in two parts, 127680 and 41, that added together give a palindrome (127721).

The spelling of 12768041 in words is "twelve million, seven hundred sixty-eight thousand, forty-one".