13984992 has 108 divisors (see below), whose sum is σ = 46309536. Its totient is φ = 3991680.

The previous prime is 13984981. The next prime is 13985009. The reversal of 13984992 is 29948931.

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

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 17 ways as a sum of consecutive naturals, for example, 13617 + ... + 14607.

It is an arithmetic number, because the mean of its divisors is an integer number (428792).

Almost surely, 2^13984992 is an apocalyptic number.

13984992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13984992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23154768).

13984992 is an abundant number, since it is smaller than the sum of its proper divisors (32324544).

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

13984992 is a wasteful number, since it uses less digits than its factorization.

13984992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1003 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 13984992 is about 3739.6513206447. The cubic root of 13984992 is about 240.9280732079.

The spelling of 13984992 in words is "thirteen million, nine hundred eighty-four thousand, nine hundred ninety-two".