14164320 has 96 divisors (see below), whose sum is σ = 46593792. Its totient is φ = 3610112.

The previous prime is 14164309. The next prime is 14164321. The reversal of 14164320 is 2346141.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×14164320² = 401255922124800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14164321) 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, 10399 + ... + 11681.

It is an arithmetic number, because the mean of its divisors is an integer number (485352).

Almost surely, 2^14164320 is an apocalyptic number.

14164320 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 14164320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23296896).

14164320 is an abundant number, since it is smaller than the sum of its proper divisors (32429472).

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

14164320 is a wasteful number, since it uses less digits than its factorization.

14164320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 14164320 is about 3763.5515141951. The cubic root of 14164320 is about 241.9535006167.

The spelling of 14164320 in words is "fourteen million, one hundred sixty-four thousand, three hundred twenty".