14181984 has 72 divisors (see below), whose sum is σ = 42103152. Its totient is φ = 4519680.

The previous prime is 14181983. The next prime is 14181997. The reversal of 14181984 is 48918141.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×14181984² = 402257340352512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14181983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5554 + ... + 7694.

It is an arithmetic number, because the mean of its divisors is an integer number (584766).

Almost surely, 2^14181984 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 14181984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21051576).

14181984 is an abundant number, since it is smaller than the sum of its proper divisors (27921168).

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

14181984 is a wasteful number, since it uses less digits than its factorization.

14181984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 2169 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 14181984 is about 3765.8975025882. The cubic root of 14181984 is about 242.0540370644.

The spelling of 14181984 in words is "fourteen million, one hundred eighty-one thousand, nine hundred eighty-four".