12916384 has 48 divisors (see below), whose sum is σ = 27888840. Its totient is φ = 5852160.

The previous prime is 12916373. The next prime is 12916417. The reversal of 12916384 is 48361921.

It can be written as a sum of positive squares in 4 ways, for example, as 7290000 + 5626384 = 2700^2 + 2372^2 .

It is a super-3 number, since 3×12916384³ (a number of 22 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25122 + ... + 25630.

Almost surely, 2^12916384 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 12916384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13944420).

12916384 is an abundant number, since it is smaller than the sum of its proper divisors (14972456).

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

12916384 is a wasteful number, since it uses less digits than its factorization.

12916384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 585 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The square root of 12916384 is about 3593.9371168678. The cubic root of 12916384 is about 234.6282578897.

The spelling of 12916384 in words is "twelve million, nine hundred sixteen thousand, three hundred eighty-four".