14412320 has 96 divisors (see below), whose sum is σ = 37784880. Its totient is φ = 5191680.

The previous prime is 14412301. The next prime is 14412337. The reversal of 14412320 is 2321441.

14412320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3888784 + 10523536 = 1972^2 + 3244^2 .

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, 351500 + ... + 351540.

Almost surely, 2^14412320 is an apocalyptic number.

14412320 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 14412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18892440).

14412320 is an abundant number, since it is smaller than the sum of its proper divisors (23372560).

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

14412320 is an equidigital number, since it uses as much as digits as its factorization.

14412320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 14412320 is about 3796.3561476763. The cubic root of 14412320 is about 243.3574422017.

Adding to 14412320 its reverse (2321441), we get a palindrome (16733761).

The spelling of 14412320 in words is "fourteen million, four hundred twelve thousand, three hundred twenty".