11271168 has 66 divisors (see below), whose sum is σ = 32571864. Its totient is φ = 3753984.

The previous prime is 11271163. The next prime is 11271181. The reversal of 11271168 is 86117211.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11271163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8605 + ... + 9827.

Almost surely, 2^11271168 is an apocalyptic number.

11271168 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 11271168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16285932).

11271168 is an abundant number, since it is smaller than the sum of its proper divisors (21300696).

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

11271168 is a wasteful number, since it uses less digits than its factorization.

11271168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1228 counting only the distinct ones).

The product of its digits is 672, while the sum is 27.

The square root of 11271168 is about 3357.2560224088. The cubic root of 11271168 is about 224.2106861280.

Adding to 11271168 its reverse (86117211), we get a palindrome (97388379).

The spelling of 11271168 in words is "eleven million, two hundred seventy-one thousand, one hundred sixty-eight".