13888320 has 224 divisors, whose sum is σ = 50035968. Its totient is φ = 3244032.

The previous prime is 13888319. The next prime is 13888331. The reversal of 13888320 is 2388831.

13888320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375342 + ... + 375378.

Almost surely, 2^13888320 is an apocalyptic number.

13888320 is a gapful number since it is divisible by the number (10) 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 13888320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25017984).

13888320 is an abundant number, since it is smaller than the sum of its proper divisors (36147648).

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

13888320 is a wasteful number, since it uses less digits than its factorization.

13888320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 13888320 is about 3726.7036372644. The cubic root of 13888320 is about 240.3716464207.

The spelling of 13888320 in words is "thirteen million, eight hundred eighty-eight thousand, three hundred twenty".