14969688 has 64 divisors (see below), whose sum is σ = 39951360. Its totient is φ = 4663296.

The previous prime is 14969681. The next prime is 14969693. The reversal of 14969688 is 88696941.

It is a happy number.

14969688 is nontrivially palindromic in base 11.

14969688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14969688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14969681) 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, 25656 + ... + 26232.

It is an arithmetic number, because the mean of its divisors is an integer number (624240).

Almost surely, 2^14969688 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 14969688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19975680).

14969688 is an abundant number, since it is smaller than the sum of its proper divisors (24981672).

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

14969688 is a wasteful number, since it uses less digits than its factorization.

14969688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 652 counting only the distinct ones).

The product of its digits is 746496, while the sum is 51.

The square root of 14969688 is about 3869.0681048542. The cubic root of 14969688 is about 246.4549713608.

The spelling of 14969688 in words is "fourteen million, nine hundred sixty-nine thousand, six hundred eighty-eight".