12904416 has 144 divisors (see below), whose sum is σ = 43321824. Its totient is φ = 3566592.

The previous prime is 12904399. The next prime is 12904447. The reversal of 12904416 is 61440921.

12904416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 12904416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74506 + ... + 74678.

It is an arithmetic number, because the mean of its divisors is an integer number (300846).

Almost surely, 2^12904416 is an apocalyptic number.

12904416 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 12904416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21660912).

12904416 is an abundant number, since it is smaller than the sum of its proper divisors (30417408).

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

12904416 is a wasteful number, since it uses less digits than its factorization.

12904416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12904416 is about 3592.2717046460. The cubic root of 12904416 is about 234.5557685944. Note that the first 3 decimals are identical.

The spelling of 12904416 in words is "twelve million, nine hundred four thousand, four hundred sixteen".