14390688 has 72 divisors (see below), whose sum is σ = 40951008. Its totient is φ = 4422912.

The previous prime is 14390683. The next prime is 14390689. The reversal of 14390688 is 88609341.

14390688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14390688² = 414183802226688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (14390683) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15781 + ... + 16667.

It is an arithmetic number, because the mean of its divisors is an integer number (568764).

Almost surely, 2^14390688 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 14390688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20475504).

14390688 is an abundant number, since it is smaller than the sum of its proper divisors (26560320).

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

14390688 is a wasteful number, since it uses less digits than its factorization.

14390688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 14390688 is about 3793.5060300466. The cubic root of 14390688 is about 243.2356264175.

The spelling of 14390688 in words is "fourteen million, three hundred ninety thousand, six hundred eighty-eight".