13827168 has 72 divisors (see below), whose sum is σ = 40314456. Its totient is φ = 4492800.

The previous prime is 13827157. The next prime is 13827169. The reversal of 13827168 is 86172831.

13827168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13827169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11223 + ... + 12393.

It is an arithmetic number, because the mean of its divisors is an integer number (559923).

Almost surely, 2^13827168 is an apocalyptic number.

13827168 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 13827168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20157228).

13827168 is an abundant number, since it is smaller than the sum of its proper divisors (26487288).

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

13827168 is a wasteful number, since it uses less digits than its factorization.

13827168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1217 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 13827168 is about 3718.4900161221. The cubic root of 13827168 is about 240.0183319330.

Adding to 13827168 its reverse (86172831), we get a palindrome (99999999).

The spelling of 13827168 in words is "thirteen million, eight hundred twenty-seven thousand, one hundred sixty-eight".