13887936 has 168 divisors, whose sum is σ = 44378880. Its totient is φ = 4292352.

The previous prime is 13887919. The next prime is 13887941. The reversal of 13887936 is 63978831.

It is a happy number.

13887936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13887891 and 13887900.

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, 295465 + ... + 295511.

It is an arithmetic number, because the mean of its divisors is an integer number (264160).

Almost surely, 2^13887936 is an apocalyptic number.

13887936 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 13887936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22189440).

13887936 is an abundant number, since it is smaller than the sum of its proper divisors (30490944).

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

13887936 is an equidigital number, since it uses as much as digits as its factorization.

13887936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 71 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 13887936 is about 3726.6521168470. The cubic root of 13887936 is about 240.3694310445.

The spelling of 13887936 in words is "thirteen million, eight hundred eighty-seven thousand, nine hundred thirty-six".