12980736 has 100 divisors (see below), whose sum is σ = 38867862. Its totient is φ = 4313088.

The previous prime is 12980729. The next prime is 12980749. The reversal of 12980736 is 63708921.

It can be written as a sum of positive squares in only one way, i.e., 12960000 + 20736 = 3600^2 + 144^2 .

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

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 12980736.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 41316 + ... + 41628.

Almost surely, 2^12980736 is an apocalyptic number.

12980736 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 12980736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19433931).

12980736 is an abundant number, since it is smaller than the sum of its proper divisors (25887126).

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

12980736 is an frugal number, since it uses more digits than its factorization.

12980736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 12980736 is about 3602.8788489207. The cubic root of 12980736 is about 235.0172674802.

The spelling of 12980736 in words is "twelve million, nine hundred eighty thousand, seven hundred thirty-six".