13863168 has 108 divisors (see below), whose sum is σ = 43684368. Its totient is φ = 4193280.

The previous prime is 13863149. The next prime is 13863191. The reversal of 13863168 is 86136831.

13863168 is a `hidden beast` number, since 13 + 8 + 631 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25071 + ... + 25617.

Almost surely, 2^13863168 is an apocalyptic number.

13863168 is a gapful number since it is divisible by the number (18) 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 13863168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21842184).

13863168 is an abundant number, since it is smaller than the sum of its proper divisors (29821200).

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

13863168 is a wasteful number, since it uses less digits than its factorization.

13863168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 563 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 13863168 is about 3723.3275440122. The cubic root of 13863168 is about 240.2264529289.

Adding to 13863168 its reverse (86136831), we get a palindrome (99999999).

It can be divided in two parts, 1386 and 3168, that added together give a palindrome (4554).

The spelling of 13863168 in words is "thirteen million, eight hundred sixty-three thousand, one hundred sixty-eight".