12891736 has 64 divisors (see below), whose sum is σ = 29030400. Its totient is φ = 5289600.

The previous prime is 12891731. The next prime is 12891737. The reversal of 12891736 is 63719821.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12891695 and 12891704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12891731) 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, 67401 + ... + 67591.

It is an arithmetic number, because the mean of its divisors is an integer number (453600).

Almost surely, 2^12891736 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 12891736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515200).

12891736 is an abundant number, since it is smaller than the sum of its proper divisors (16138664).

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

12891736 is a wasteful number, since it uses less digits than its factorization.

12891736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 276 counting only the distinct ones).

The product of its digits is 18144, while the sum is 37.

The square root of 12891736 is about 3590.5063709733. The cubic root of 12891736 is about 234.4789178526.

It can be divided in two parts, 1289 and 1736, that added together give a square (3025 = 55²).

The spelling of 12891736 in words is "twelve million, eight hundred ninety-one thousand, seven hundred thirty-six".