13986304 has 40 divisors (see below), whose sum is σ = 28480320. Its totient is φ = 6859776.

The previous prime is 13986293. The next prime is 13986311. The reversal of 13986304 is 40368931.

It is a self number, because there is not a number n which added to its sum of digits gives 13986304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29977 + ... + 30439.

It is an arithmetic number, because the mean of its divisors is an integer number (712008).

Almost surely, 2^13986304 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 13986304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14240160).

13986304 is an abundant number, since it is smaller than the sum of its proper divisors (14494016).

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

13986304 is an frugal number, since it uses more digits than its factorization.

13986304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 13986304 is about 3739.8267339544. The cubic root of 13986304 is about 240.9356071830.

The spelling of 13986304 in words is "thirteen million, nine hundred eighty-six thousand, three hundred four".