13412320 has 48 divisors (see below), whose sum is σ = 33557328. Its totient is φ = 5048320.

The previous prime is 13412299. The next prime is 13412359. The reversal of 13412320 is 2321431.

It is a happy number.

13412320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 13412294 and 13412303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255 + ... + 5185.

It is an arithmetic number, because the mean of its divisors is an integer number (699111).

Almost surely, 2^13412320 is an apocalyptic number.

13412320 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 13412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16778664).

13412320 is an abundant number, since it is smaller than the sum of its proper divisors (20145008).

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

13412320 is a wasteful number, since it uses less digits than its factorization.

13412320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4963 (or 4955 counting only the distinct ones).

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

The square root of 13412320 is about 3662.2834406965. The cubic root of 13412320 is about 237.5935439452.

Adding to 13412320 its reverse (2321431), we get a palindrome (15733751).

The spelling of 13412320 in words is "thirteen million, four hundred twelve thousand, three hundred twenty".