13815984 has 80 divisors (see below), whose sum is σ = 43941632. Its totient is φ = 3642624.

The previous prime is 13815937. The next prime is 13816013. The reversal of 13815984 is 48951831.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2787 + ... + 5949.

Almost surely, 2^13815984 is an apocalyptic number.

13815984 is a gapful number since it is divisible by the number (14) 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 13815984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21970816).

13815984 is an abundant number, since it is smaller than the sum of its proper divisors (30125648).

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

13815984 is a wasteful number, since it uses less digits than its factorization.

13815984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3194 (or 3188 counting only the distinct ones).

The product of its digits is 34560, while the sum is 39.

The square root of 13815984 is about 3716.9858756794. The cubic root of 13815984 is about 239.9536021419.

The spelling of 13815984 in words is "thirteen million, eight hundred fifteen thousand, nine hundred eighty-four".