11289168 has 60 divisors (see below), whose sum is σ = 34471008. Its totient is φ = 3420480.

The previous prime is 11289167. The next prime is 11289191. The reversal of 11289168 is 86198211.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11289167) 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, 1980 + ... + 5147.

Almost surely, 2^11289168 is an apocalyptic number.

11289168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11289168 is an abundant number, since it is smaller than the sum of its proper divisors (23181840).

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

11289168 is a wasteful number, since it uses less digits than its factorization.

11289168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7152 (or 7143 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The square root of 11289168 is about 3359.9357136707. The cubic root of 11289168 is about 224.3299771034.

It can be divided in two parts, 1128 and 9168, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 11289168 in words is "eleven million, two hundred eighty-nine thousand, one hundred sixty-eight".