11085568 has 36 divisors (see below), whose sum is σ = 23837128. Its totient is φ = 5114880.

The previous prime is 11085551. The next prime is 11085577. The reversal of 11085568 is 86558011.

It is a super-3 number, since 3×11085568³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1663 + ... + 4993.

Almost surely, 2^11085568 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 11085568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11918564).

11085568 is an abundant number, since it is smaller than the sum of its proper divisors (12751560).

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

11085568 is an equidigital number, since it uses as much as digits as its factorization.

11085568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3360 (or 3346 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 34.

The square root of 11085568 is about 3329.4996621114. The cubic root of 11085568 is about 222.9731914926.

The spelling of 11085568 in words is "eleven million, eighty-five thousand, five hundred sixty-eight".