14306320 has 80 divisors (see below), whose sum is σ = 38747520. Its totient is φ = 4810752.

The previous prime is 14306263. The next prime is 14306323. The reversal of 14306320 is 2360341.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (14306323) 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, 32824 + ... + 33256.

It is an arithmetic number, because the mean of its divisors is an integer number (484344).

Almost surely, 2^14306320 is an apocalyptic number.

14306320 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 14306320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19373760).

14306320 is an abundant number, since it is smaller than the sum of its proper divisors (24441200).

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

14306320 is a wasteful number, since it uses less digits than its factorization.

14306320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 14306320 is about 3782.3696276276. The cubic root of 14306320 is about 242.7593569081.

Adding to 14306320 its reverse (2360341), we get a palindrome (16666661).

It can be divided in two parts, 1430 and 6320, that added together give a triangular number (7750 = T₁₂₄).

The spelling of 14306320 in words is "fourteen million, three hundred six thousand, three hundred twenty".