11166220 has 48 divisors (see below), whose sum is σ = 25669728. Its totient is φ = 4055040.

The previous prime is 11166217. The next prime is 11166223. The reversal of 11166220 is 2266111.

It is an interprime number because it is at equal distance from previous prime (11166217) and next prime (11166223).

It is not an unprimeable number, because it can be changed into a prime (11166223) 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, 17100 + ... + 17740.

It is an arithmetic number, because the mean of its divisors is an integer number (534786).

Almost surely, 2^11166220 is an apocalyptic number.

11166220 is a gapful number since it is divisible by the number (10) 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 11166220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12834864).

11166220 is an abundant number, since it is smaller than the sum of its proper divisors (14503508).

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

11166220 is a wasteful number, since it uses less digits than its factorization.

11166220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 11166220 is about 3341.5894421667. The cubic root of 11166220 is about 223.5126255115.

The spelling of 11166220 in words is "eleven million, one hundred sixty-six thousand, two hundred twenty".