14838768 has 120 divisors (see below), whose sum is σ = 49617360. Its totient is φ = 4233600.

The previous prime is 14838757. The next prime is 14838851. The reversal of 14838768 is 86783841.

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20818 + ... + 21518.

It is an arithmetic number, because the mean of its divisors is an integer number (413478).

Almost surely, 2^14838768 is an apocalyptic number.

14838768 is a gapful number since it is divisible by the number (18) 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 14838768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24808680).

14838768 is an abundant number, since it is smaller than the sum of its proper divisors (34778592).

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

14838768 is a wasteful number, since it uses less digits than its factorization.

14838768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 713 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 14838768 is about 3852.1121479002. The cubic root of 14838768 is about 245.7343950680.

The spelling of 14838768 in words is "fourteen million, eight hundred thirty-eight thousand, seven hundred sixty-eight".