14189688 has 64 divisors (see below), whose sum is σ = 39744000. Its totient is φ = 4690656.

The previous prime is 14189683. The next prime is 14189701. The reversal of 14189688 is 88698141.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14189683) 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, 38481 + ... + 38847.

It is an arithmetic number, because the mean of its divisors is an integer number (621000).

Almost surely, 2^14189688 is an apocalyptic number.

14189688 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 14189688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19872000).

14189688 is an abundant number, since it is smaller than the sum of its proper divisors (25554312).

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

14189688 is a wasteful number, since it uses less digits than its factorization.

14189688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 551 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 14189688 is about 3766.9202274537. The cubic root of 14189688 is about 242.0978590181.

The spelling of 14189688 in words is "fourteen million, one hundred eighty-nine thousand, six hundred eighty-eight".