14905984 has 32 divisors (see below), whose sum is σ = 30015540. Its totient is φ = 7372800.

The previous prime is 14905981. The next prime is 14906033. The reversal of 14905984 is 48950941.

It can be written as a sum of positive squares in 2 ways, for example, as 12110400 + 2795584 = 3480^2 + 1672^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (14905981) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12352 + ... + 13504.

Almost surely, 2^14905984 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 14905984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15007770).

14905984 is an abundant number, since it is smaller than the sum of its proper divisors (15109556).

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

14905984 is a wasteful number, since it uses less digits than its factorization.

14905984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 14905984 is about 3860.8268544445. The cubic root of 14905984 is about 246.1048751940.

The spelling of 14905984 in words is "fourteen million, nine hundred five thousand, nine hundred eighty-four".