12982304 has 48 divisors (see below), whose sum is σ = 27578880. Its totient is φ = 5998080.

The previous prime is 12982303. The next prime is 12982309. The reversal of 12982304 is 40328921.

It is not an unprimeable number, because it can be changed into a prime (12982303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22532 + ... + 23100.

It is an arithmetic number, because the mean of its divisors is an integer number (574560).

Almost surely, 2^12982304 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 12982304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13789440).

12982304 is an abundant number, since it is smaller than the sum of its proper divisors (14596576).

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

12982304 is a wasteful number, since it uses less digits than its factorization.

12982304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 12982304 is about 3603.0964461141. The cubic root of 12982304 is about 235.0267300212.

The spelling of 12982304 in words is "twelve million, nine hundred eighty-two thousand, three hundred four".