14008384 has 56 divisors (see below), whose sum is σ = 30403800. Its totient is φ = 6365184.

The previous prime is 14008381. The next prime is 14008399. The reversal of 14008384 is 48380041.

It can be written as a sum of positive squares in 4 ways, for example, as 1617984 + 12390400 = 1272^2 + 3520^2 .

It is not an unprimeable number, because it can be changed into a prime (14008381) 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, 93942 + ... + 94090.

It is an arithmetic number, because the mean of its divisors is an integer number (542925).

Almost surely, 2^14008384 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 14008384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15201900).

14008384 is an abundant number, since it is smaller than the sum of its proper divisors (16395416).

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

14008384 is a wasteful number, since it uses less digits than its factorization.

14008384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 14008384 is about 3742.7775782165. Note that the first 3 decimals coincide. The cubic root of 14008384 is about 241.0623278472.

The spelling of 14008384 in words is "fourteen million, eight thousand, three hundred eighty-four".