14938720 has 48 divisors (see below), whose sum is σ = 35804160. Its totient is φ = 5889024.

The previous prime is 14938709. The next prime is 14938727. The reversal of 14938720 is 2783941.

14938720 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 (14938727) 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, 11041 + ... + 12319.

It is an arithmetic number, because the mean of its divisors is an integer number (745920).

Almost surely, 2^14938720 is an apocalyptic number.

14938720 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 14938720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17902080).

14938720 is an abundant number, since it is smaller than the sum of its proper divisors (20865440).

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

14938720 is a wasteful number, since it uses less digits than its factorization.

14938720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 14938720 is about 3865.0640356920. The cubic root of 14938720 is about 246.2849057685.

The spelling of 14938720 in words is "fourteen million, nine hundred thirty-eight thousand, seven hundred twenty".