14284960 has 96 divisors (see below), whose sum is σ = 36771840. Its totient is φ = 5225472.

The previous prime is 14284957. The next prime is 14284961. The reversal of 14284960 is 6948241.

14284960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14284961) 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, 112417 + ... + 112543.

It is an arithmetic number, because the mean of its divisors is an integer number (383040).

Almost surely, 2^14284960 is an apocalyptic number.

14284960 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 14284960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18385920).

14284960 is an abundant number, since it is smaller than the sum of its proper divisors (22486880).

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

14284960 is a wasteful number, since it uses less digits than its factorization.

14284960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 14284960 is about 3779.5449461542. The cubic root of 14284960 is about 242.6384797327.

The spelling of 14284960 in words is "fourteen million, two hundred eighty-four thousand, nine hundred sixty".