12896384 has 32 divisors (see below), whose sum is σ = 26190540. Its totient is φ = 6323200.

The previous prime is 12896381. The next prime is 12896407. The reversal of 12896384 is 48369821.

It can be written as a sum of positive squares in 2 ways, for example, as 12673600 + 222784 = 3560^2 + 472^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (12896381) 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 3 ways as a sum of consecutive naturals, for example, 5834 + ... + 7734.

Almost surely, 2^12896384 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 12896384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13095270).

12896384 is an abundant number, since it is smaller than the sum of its proper divisors (13294156).

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

12896384 is an equidigital number, since it uses as much as digits as its factorization.

12896384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 1956 counting only the distinct ones).

The product of its digits is 82944, while the sum is 41.

The square root of 12896384 is about 3591.1535751065. The cubic root of 12896384 is about 234.5070942248.

The spelling of 12896384 in words is "twelve million, eight hundred ninety-six thousand, three hundred eighty-four".