14688 has 48 divisors (see below), whose sum is σ = 45360. Its totient is φ = 4608.

The previous prime is 14683. The next prime is 14699. The reversal of 14688 is 88641.

14688 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a plaindrome in base 10 and base 13.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14683) by changing a digit.

14688 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 856 + ... + 872.

It is an arithmetic number, because the mean of its divisors is an integer number (945).

2¹⁴⁶⁸⁸ is an apocalyptic number.

14688 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 14688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22680).

14688 is an abundant number, since it is smaller than the sum of its proper divisors (30672).

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

14688 is a wasteful number, since it uses less digits than its factorization.

14688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 22 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 14688 is about 121.1940592603. The cubic root of 14688 is about 24.4899306115.

The spelling of 14688 in words is "fourteen thousand, six hundred eighty-eight".