11291168 has 72 divisors (see below), whose sum is σ = 27291600. Its totient is φ = 4572288.

The previous prime is 11291167. The next prime is 11291171. The reversal of 11291168 is 86119211.

It is a self number, because there is not a number n which added to its sum of digits gives 11291168.

It is not an unprimeable number, because it can be changed into a prime (11291167) 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, 29603 + ... + 29981.

It is an arithmetic number, because the mean of its divisors is an integer number (379050).

Almost surely, 2^11291168 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 11291168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13645800).

11291168 is an abundant number, since it is smaller than the sum of its proper divisors (16000432).

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

11291168 is a wasteful number, since it uses less digits than its factorization.

11291168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 407 counting only the distinct ones).

The product of its digits is 864, while the sum is 29.

The square root of 11291168 is about 3360.2333252320. The cubic root of 11291168 is about 224.3432238270.

The spelling of 11291168 in words is "eleven million, two hundred ninety-one thousand, one hundred sixty-eight".