12759768 has 160 divisors (see below), whose sum is σ = 42688800. Its totient is φ = 3483648.

The previous prime is 12759767. The next prime is 12759781. The reversal of 12759768 is 86795721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12759763) 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 39 ways as a sum of consecutive naturals, for example, 131496 + ... + 131592.

It is an arithmetic number, because the mean of its divisors is an integer number (266805).

Almost surely, 2^12759768 is an apocalyptic number.

12759768 is a gapful number since it is divisible by the number (18) 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 12759768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21344400).

12759768 is an abundant number, since it is smaller than the sum of its proper divisors (29929032).

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

12759768 is a wasteful number, since it uses less digits than its factorization.

12759768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 138 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 12759768 is about 3572.0817459851. The cubic root of 12759768 is about 233.6760804138.

It can be divided in two parts, 127 and 59768, that added together give a palindrome (59895).

The spelling of 12759768 in words is "twelve million, seven hundred fifty-nine thousand, seven hundred sixty-eight".