14985984 has 144 divisors (see below), whose sum is σ = 45785600. Its totient is φ = 4313088.

The previous prime is 14985983. The next prime is 14986001. The reversal of 14985984 is 48958941.

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

It is not an unprimeable number, because it can be changed into a prime (14985983) 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, 189657 + ... + 189735.

Almost surely, 2^14985984 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 14985984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22892800).

14985984 is an abundant number, since it is smaller than the sum of its proper divisors (30799616).

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

14985984 is a wasteful number, since it uses less digits than its factorization.

14985984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 116 counting only the distinct ones).

The product of its digits is 414720, while the sum is 48.

The square root of 14985984 is about 3871.1734655011. The cubic root of 14985984 is about 246.5443692101.

The spelling of 14985984 in words is "fourteen million, nine hundred eighty-five thousand, nine hundred eighty-four".