14832168 has 64 divisors (see below), whose sum is σ = 40340160. Its totient is φ = 4517376.

The previous prime is 14832163. The next prime is 14832193. The reversal of 14832168 is 86123841.

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

It is not an unprimeable number, because it can be changed into a prime (14832161) 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, 42571 + ... + 42917.

It is an arithmetic number, because the mean of its divisors is an integer number (630315).

Almost surely, 2^14832168 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 14832168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20170080).

14832168 is an abundant number, since it is smaller than the sum of its proper divisors (25507992).

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

14832168 is a wasteful number, since it uses less digits than its factorization.

14832168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 502 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 14832168 is about 3851.2553797431. The cubic root of 14832168 is about 245.6979570132.

The spelling of 14832168 in words is "fourteen million, eight hundred thirty-two thousand, one hundred sixty-eight".