13612320 has 192 divisors, whose sum is σ = 50077440. Its totient is φ = 3446784.

The previous prime is 13612309. The next prime is 13612321. The reversal of 13612320 is 2321631.

13612320 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 13612293 and 13612302.

It is not an unprimeable number, because it can be changed into a prime (13612321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99292 + ... + 99428.

It is an arithmetic number, because the mean of its divisors is an integer number (260820).

Almost surely, 2^13612320 is an apocalyptic number.

13612320 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 13612320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25038720).

13612320 is an abundant number, since it is smaller than the sum of its proper divisors (36465120).

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

13612320 is a wasteful number, since it uses less digits than its factorization.

13612320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 13612320 is about 3689.4877693252. The cubic root of 13612320 is about 238.7686936561.

Adding to 13612320 its reverse (2321631), we get a palindrome (15933951).

The spelling of 13612320 in words is "thirteen million, six hundred twelve thousand, three hundred twenty".