11066112 has 72 divisors (see below), whose sum is σ = 32744880. Its totient is φ = 3686400.

The previous prime is 11066089. The next prime is 11066117. The reversal of 11066112 is 21166011.

11066112 is a `hidden beast` number, since 1 + 1 + 0 + 661 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11066117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6112 + ... + 7712.

It is an arithmetic number, because the mean of its divisors is an integer number (454790).

Almost surely, 2^11066112 is an apocalyptic number.

11066112 is a gapful number since it is divisible by the number (12) 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 11066112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16372440).

11066112 is an abundant number, since it is smaller than the sum of its proper divisors (21678768).

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

11066112 is an equidigital number, since it uses as much as digits as its factorization.

11066112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 11066112 is about 3326.5766186877. The cubic root of 11066112 is about 222.8426702351.

The spelling of 11066112 in words is "eleven million, sixty-six thousand, one hundred twelve".