14901984 has 72 divisors (see below), whose sum is σ = 43144920. Its totient is φ = 4877568.

The previous prime is 14901973. The next prime is 14902003. The reversal of 14901984 is 48910941.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16554 + ... + 17430.

It is an arithmetic number, because the mean of its divisors is an integer number (599235).

Almost surely, 2^14901984 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 14901984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21572460).

14901984 is an abundant number, since it is smaller than the sum of its proper divisors (28242936).

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

14901984 is a wasteful number, since it uses less digits than its factorization.

14901984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 14901984 is about 3860.3087959385. The cubic root of 14901984 is about 246.0828592580.

The spelling of 14901984 in words is "fourteen million, nine hundred one thousand, nine hundred eighty-four".