12957984 has 72 divisors (see below), whose sum is σ = 39695292. Its totient is φ = 3985920.

The previous prime is 12957953. The next prime is 12957991. The reversal of 12957984 is 48975921.

It can be written as a sum of positive squares in 2 ways, for example, as 11370384 + 1587600 = 3372^2 + 1260^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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, 2014 + ... + 5474.

Almost surely, 2^12957984 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 12957984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19847646).

12957984 is an abundant number, since it is smaller than the sum of its proper divisors (26737308).

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

12957984 is a wasteful number, since it uses less digits than its factorization.

12957984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3490 (or 3479 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 12957984 is about 3599.7199891103. The cubic root of 12957984 is about 234.8798782503.

The spelling of 12957984 in words is "twelve million, nine hundred fifty-seven thousand, nine hundred eighty-four".