11166288 has 80 divisors (see below), whose sum is σ = 33331200. Its totient is φ = 3155328.

The previous prime is 11166277. The next prime is 11166289. The reversal of 11166288 is 88266111.

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

Its product of digits (4608) is a multiple of the sum of its prime factors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11166289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56013 + ... + 56211.

It is an arithmetic number, because the mean of its divisors is an integer number (416640).

Almost surely, 2^11166288 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 11166288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16665600).

11166288 is an abundant number, since it is smaller than the sum of its proper divisors (22164912).

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

11166288 is a wasteful number, since it uses less digits than its factorization.

11166288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 378 counting only the distinct ones).

The product of its digits is 4608, while the sum is 33.

The square root of 11166288 is about 3341.5996169499. The cubic root of 11166288 is about 223.5130792260.

The spelling of 11166288 in words is "eleven million, one hundred sixty-six thousand, two hundred eighty-eight".