13887984 has 80 divisors (see below), whose sum is σ = 40533120. Its totient is φ = 4058880.

The previous prime is 13887977. The next prime is 13887989. The reversal of 13887984 is 48978831.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13887989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14859 + ... + 15765.

It is an arithmetic number, because the mean of its divisors is an integer number (506664).

Almost surely, 2^13887984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13887984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20266560).

13887984 is an abundant number, since it is smaller than the sum of its proper divisors (26645136).

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

13887984 is a wasteful number, since it uses less digits than its factorization.

13887984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 952 counting only the distinct ones).

The product of its digits is 387072, while the sum is 48.

The square root of 13887984 is about 3726.6585569381. The cubic root of 13887984 is about 240.3697079687.

The spelling of 13887984 in words is "thirteen million, eight hundred eighty-seven thousand, nine hundred eighty-four".