14312320 has 128 divisors (see below), whose sum is σ = 39657600. Its totient is φ = 4884480.

The previous prime is 14312281. The next prime is 14312381. The reversal of 14312320 is 2321341.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 14312294 and 14312303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133707 + ... + 133813.

It is an arithmetic number, because the mean of its divisors is an integer number (309825).

Almost surely, 2^14312320 is an apocalyptic number.

14312320 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 14312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19828800).

14312320 is an abundant number, since it is smaller than the sum of its proper divisors (25345280).

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

14312320 is a wasteful number, since it uses less digits than its factorization.

14312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 14312320 is about 3783.1626980610. The cubic root of 14312320 is about 242.7932895236.

Adding to 14312320 its reverse (2321341), we get a palindrome (16633661).

The spelling of 14312320 in words is "fourteen million, three hundred twelve thousand, three hundred twenty".