12791688 has 64 divisors (see below), whose sum is σ = 39365760. Its totient is φ = 3373056.

The previous prime is 12791687. The next prime is 12791773. The reversal of 12791688 is 88619721.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (12791687) 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 15 ways as a sum of consecutive naturals, for example, 745 + ... + 5112.

It is an arithmetic number, because the mean of its divisors is an integer number (615090).

Almost surely, 2^12791688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12791688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19682880).

12791688 is an abundant number, since it is smaller than the sum of its proper divisors (26574072).

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

12791688 is a wasteful number, since it uses less digits than its factorization.

12791688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5886 (or 5882 counting only the distinct ones).

The product of its digits is 48384, while the sum is 42.

The square root of 12791688 is about 3576.5469380395. The cubic root of 12791688 is about 233.8707738524.

The spelling of 12791688 in words is "twelve million, seven hundred ninety-one thousand, six hundred eighty-eight".