12791268 has 72 divisors (see below), whose sum is σ = 37285248. Its totient is φ = 3621888.

The previous prime is 12791263. The next prime is 12791281. The reversal of 12791268 is 86219721.

12791268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12791263) 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, 48505 + ... + 48767.

Almost surely, 2^12791268 is an apocalyptic number.

12791268 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 12791268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18642624).

12791268 is an abundant number, since it is smaller than the sum of its proper divisors (24493980).

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

12791268 is a wasteful number, since it uses less digits than its factorization.

12791268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 468 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 12791268 is about 3576.4882217058. The cubic root of 12791268 is about 233.8682142006.

The spelling of 12791268 in words is "twelve million, seven hundred ninety-one thousand, two hundred sixty-eight".