12384416 has 48 divisors (see below), whose sum is σ = 26889408. Its totient is φ = 5568000.

The previous prime is 12384401. The next prime is 12384443. The reversal of 12384416 is 61448321.

12384416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×12384416³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 53036 + ... + 53268.

It is an arithmetic number, because the mean of its divisors is an integer number (560196).

Almost surely, 2^12384416 is an apocalyptic number.

12384416 is a gapful number since it is divisible by the number (16) 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 12384416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13444704).

12384416 is an abundant number, since it is smaller than the sum of its proper divisors (14504992).

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

12384416 is a wasteful number, since it uses less digits than its factorization.

12384416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 397 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 12384416 is about 3519.1498973474. The cubic root of 12384416 is about 231.3619009439.

The spelling of 12384416 in words is "twelve million, three hundred eighty-four thousand, four hundred sixteen".