13889120 has 48 divisors (see below), whose sum is σ = 37503648. Its totient is φ = 4761600.

The previous prime is 13889089. The next prime is 13889143. The reversal of 13889120 is 2198831.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5081 + ... + 7320.

It is an arithmetic number, because the mean of its divisors is an integer number (781326).

Almost surely, 2^13889120 is an apocalyptic number.

13889120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13889120 is an abundant number, since it is smaller than the sum of its proper divisors (23614528).

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

13889120 is a wasteful number, since it uses less digits than its factorization.

13889120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12423 (or 12415 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 13889120 is about 3726.8109691800. The cubic root of 13889120 is about 240.3762616568.

The spelling of 13889120 in words is "thirteen million, eight hundred eighty-nine thousand, one hundred twenty".