13486368 has 144 divisors (see below), whose sum is σ = 42747264. Its totient is φ = 3709440.

The previous prime is 13486367. The next prime is 13486373. The reversal of 13486368 is 86368431.

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 (13486367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221058 + ... + 221118.

It is an arithmetic number, because the mean of its divisors is an integer number (296856).

Almost surely, 2^13486368 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 13486368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21373632).

13486368 is an abundant number, since it is smaller than the sum of its proper divisors (29260896).

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

13486368 is a wasteful number, since it uses less digits than its factorization.

13486368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 120 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 13486368 is about 3672.3790654016. The cubic root of 13486368 is about 238.0299846882.

The spelling of 13486368 in words is "thirteen million, four hundred eighty-six thousand, three hundred sixty-eight".