12689872 has 60 divisors (see below), whose sum is σ = 28110180. Its totient is φ = 5548608.

The previous prime is 12689863. The next prime is 12689893. The reversal of 12689872 is 27898621.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 467856 + 12222016 = 684^2 + 3496^2 .

It is a super-2 number, since 2×12689872² = 322065702752768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 667879 + ... + 667897.

It is an arithmetic number, because the mean of its divisors is an integer number (468503).

Almost surely, 2^12689872 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 12689872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14055090).

12689872 is an abundant number, since it is smaller than the sum of its proper divisors (15420308).

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

12689872 is an equidigital number, since it uses as much as digits as its factorization.

12689872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 34 counting only the distinct ones).

The product of its digits is 96768, while the sum is 43.

The square root of 12689872 is about 3562.2846601584. The cubic root of 12689872 is about 233.2486186801.

It can be divided in two parts, 126 and 89872, that added together give a palindrome (89998).

The spelling of 12689872 in words is "twelve million, six hundred eighty-nine thousand, eight hundred seventy-two".