14638368 has 48 divisors (see below), whose sum is σ = 38737440. Its totient is φ = 4839936.

The previous prime is 14638363. The next prime is 14638369. The reversal of 14638368 is 86383641.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (14638363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12796 + ... + 13892.

It is an arithmetic number, because the mean of its divisors is an integer number (807030).

Almost surely, 2^14638368 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 14638368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19368720).

14638368 is an abundant number, since it is smaller than the sum of its proper divisors (24099072).

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

14638368 is a wasteful number, since it uses less digits than its factorization.

14638368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1241 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 14638368 is about 3826.0120229816. The cubic root of 14638368 is about 244.6231496411.

The spelling of 14638368 in words is "fourteen million, six hundred thirty-eight thousand, three hundred sixty-eight".