13905984 has 112 divisors (see below), whose sum is σ = 39794688. Its totient is φ = 4274688.

The previous prime is 13905959. The next prime is 13906001. The reversal of 13905984 is 48950931.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207519 + ... + 207585.

Almost surely, 2^13905984 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 13905984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19897344).

13905984 is an abundant number, since it is smaller than the sum of its proper divisors (25888704).

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

13905984 is a wasteful number, since it uses less digits than its factorization.

13905984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 13905984 is about 3729.0728070125. The cubic root of 13905984 is about 240.4735096161.

The spelling of 13905984 in words is "thirteen million, nine hundred five thousand, nine hundred eighty-four".