12938736 has 40 divisors (see below), whose sum is σ = 33745360. Its totient is φ = 4271616.

The previous prime is 12938711. The next prime is 12938741. The reversal of 12938736 is 63783921.

It is a junction number, because it is equal to n+sod(n) for n = 12938694 and 12938703.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3996 + ... + 6468.

It is an arithmetic number, because the mean of its divisors is an integer number (843634).

Almost surely, 2^12938736 is an apocalyptic number.

12938736 is a gapful number since it is divisible by the number (16) 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 12938736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16872680).

12938736 is an abundant number, since it is smaller than the sum of its proper divisors (20806624).

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

12938736 is a wasteful number, since it uses less digits than its factorization.

12938736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593 (or 2587 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 12938736 is about 3597.0454542583. The cubic root of 12938736 is about 234.7635224897.

The spelling of 12938736 in words is "twelve million, nine hundred thirty-eight thousand, seven hundred thirty-six".