12983960 has 64 divisors (see below), whose sum is σ = 33281280. Its totient is φ = 4512640.

The previous prime is 12983959. The next prime is 12983963. The reversal of 12983960 is 6938921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12983963) 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, 9479 + ... + 10761.

It is an arithmetic number, because the mean of its divisors is an integer number (520020).

Almost surely, 2^12983960 is an apocalyptic number.

12983960 is a gapful number since it is divisible by the number (10) 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 12983960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16640640).

12983960 is an abundant number, since it is smaller than the sum of its proper divisors (20297320).

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

12983960 is a wasteful number, since it uses less digits than its factorization.

12983960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The square root of 12983960 is about 3603.3262411278. The cubic root of 12983960 is about 235.0367227959.

The spelling of 12983960 in words is "twelve million, nine hundred eighty-three thousand, nine hundred sixty".