13887600 has 120 divisors (see below), whose sum is σ = 45389952. Its totient is φ = 3628800.

The previous prime is 13887571. The next prime is 13887611. The reversal of 13887600 is 678831.

13887600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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, 85119 + ... + 85281.

Almost surely, 2^13887600 is an apocalyptic number.

13887600 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 13887600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22694976).

13887600 is an abundant number, since it is smaller than the sum of its proper divisors (31502352).

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

13887600 is a wasteful number, since it uses less digits than its factorization.

13887600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 13887600 is about 3726.6070358974. The cubic root of 13887600 is about 240.3674925568.

The spelling of 13887600 in words is "thirteen million, eight hundred eighty-seven thousand, six hundred".