13612368 has 160 divisors (see below), whose sum is σ = 45711360. Its totient is φ = 3386880.

The previous prime is 13612367. The next prime is 13612373. The reversal of 13612368 is 86321631.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13612367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107121 + ... + 107247.

It is an arithmetic number, because the mean of its divisors is an integer number (285696).

Almost surely, 2^13612368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13612368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22855680).

13612368 is an abundant number, since it is smaller than the sum of its proper divisors (32098992).

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

13612368 is a wasteful number, since it uses less digits than its factorization.

13612368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 179 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 13612368 is about 3689.4942742875. The cubic root of 13612368 is about 238.7689743059.

Adding to 13612368 its reverse (86321631), we get a palindrome (99933999).

The spelling of 13612368 in words is "thirteen million, six hundred twelve thousand, three hundred sixty-eight".