14938320 has 80 divisors (see below), whose sum is σ = 47050560. Its totient is φ = 3919872.

The previous prime is 14938303. The next prime is 14938321. The reversal of 14938320 is 2383941.

14938320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14938321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15616 + ... + 16544.

It is an arithmetic number, because the mean of its divisors is an integer number (588132).

Almost surely, 2^14938320 is an apocalyptic number.

14938320 is a gapful number since it is divisible by the number (10) 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 14938320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23525280).

14938320 is an abundant number, since it is smaller than the sum of its proper divisors (32112240).

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

14938320 is a wasteful number, since it uses less digits than its factorization.

14938320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 14938320 is about 3865.0122897605. The cubic root of 14938320 is about 246.2827075694.

The spelling of 14938320 in words is "fourteen million, nine hundred thirty-eight thousand, three hundred twenty".