13887900 has 108 divisors (see below), whose sum is σ = 46918872. Its totient is φ = 3415680.

The previous prime is 13887899. The next prime is 13887901. The reversal of 13887900 is 978831.

It is an interprime number because it is at equal distance from previous prime (13887899) and next prime (13887901).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13887901) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11107 + ... + 12293.

It is an arithmetic number, because the mean of its divisors is an integer number (434434).

Almost surely, 2^13887900 is an apocalyptic number.

13887900 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 13887900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23459436).

13887900 is an abundant number, since it is smaller than the sum of its proper divisors (33030972).

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

13887900 is a wasteful number, since it uses less digits than its factorization.

13887900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 13887900 is about 3726.6472867713. The cubic root of 13887900 is about 240.3692233509.

The spelling of 13887900 in words is "thirteen million, eight hundred eighty-seven thousand, nine hundred".