13984304 has 40 divisors (see below), whose sum is σ = 28800240. Its totient is φ = 6559488.

The previous prime is 13984301. The next prime is 13984363. The reversal of 13984304 is 40348931.

It is not an unprimeable number, because it can be changed into a prime (13984301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47582 + ... + 47874.

It is an arithmetic number, because the mean of its divisors is an integer number (720006).

Almost surely, 2^13984304 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 13984304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14400120).

13984304 is an abundant number, since it is smaller than the sum of its proper divisors (14815936).

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

13984304 is a wasteful number, since it uses less digits than its factorization.

13984304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 13984304 is about 3739.5593323278. The cubic root of 13984304 is about 240.9241222765.

The spelling of 13984304 in words is "thirteen million, nine hundred eighty-four thousand, three hundred four".