14066304 has 64 divisors (see below), whose sum is σ = 42709440. Its totient is φ = 4018176.

The previous prime is 14066267. The next prime is 14066309. The reversal of 14066304 is 40366041.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14066309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72 + ... + 5304.

It is an arithmetic number, because the mean of its divisors is an integer number (667335).

Almost surely, 2^14066304 is an apocalyptic number.

14066304 is a gapful number since it is divisible by the number (14) 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 14066304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21354720).

14066304 is an abundant number, since it is smaller than the sum of its proper divisors (28643136).

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

14066304 is an equidigital number, since it uses as much as digits as its factorization.

14066304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5257 (or 5245 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 14066304 is about 3750.5071657044. The cubic root of 14066304 is about 241.3941084655.

The spelling of 14066304 in words is "fourteen million, sixty-six thousand, three hundred four".