14288120 has 64 divisors (see below), whose sum is σ = 40089600. Its totient is φ = 4452480.

The previous prime is 14288107. The next prime is 14288123. The reversal of 14288120 is 2188241.

It is a self number, because there is not a number n which added to its sum of digits gives 14288120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14288123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 761 + ... + 5399.

It is an arithmetic number, because the mean of its divisors is an integer number (626400).

Almost surely, 2^14288120 is an apocalyptic number.

14288120 is a gapful number since it is divisible by the number (10) 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 14288120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20044800).

14288120 is an abundant number, since it is smaller than the sum of its proper divisors (25801480).

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

14288120 is a wasteful number, since it uses less digits than its factorization.

14288120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4668 (or 4664 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 14288120 is about 3779.9629627815. The cubic root of 14288120 is about 242.6563699022.

The spelling of 14288120 in words is "fourteen million, two hundred eighty-eight thousand, one hundred twenty".