14006384 has 40 divisors (see below), whose sum is σ = 31426560. Its totient is φ = 5923008.

The previous prime is 14006381. The next prime is 14006411. The reversal of 14006384 is 48360041.

14006384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14006381) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8057 + ... + 9639.

It is an arithmetic number, because the mean of its divisors is an integer number (785664).

Almost surely, 2^14006384 is an apocalyptic number.

14006384 is a gapful number since it is divisible by the number (14) 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 14006384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15713280).

14006384 is an abundant number, since it is smaller than the sum of its proper divisors (17420176).

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

14006384 is a wasteful number, since it uses less digits than its factorization.

14006384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 14006384 is about 3742.5103874271. The cubic root of 14006384 is about 241.0508550130.

The spelling of 14006384 in words is "fourteen million, six thousand, three hundred eighty-four".