11085800 has 48 divisors (see below), whose sum is σ = 28123200. Its totient is φ = 4030400.

The previous prime is 11085799. The next prime is 11085803. The reversal of 11085800 is 858011.

11085800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11085803) 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, 320 + ... + 4719.

It is an arithmetic number, because the mean of its divisors is an integer number (585900).

Almost surely, 2^11085800 is an apocalyptic number.

11085800 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 11085800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14061600).

11085800 is an abundant number, since it is smaller than the sum of its proper divisors (17037400).

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

11085800 is a wasteful number, since it uses less digits than its factorization.

11085800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5066 (or 5057 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 23.

The square root of 11085800 is about 3329.5345019987. The cubic root of 11085800 is about 222.9747469510.

It can be divided in two parts, 1 and 1085800, that added together give a palindrome (1085801).

The spelling of 11085800 in words is "eleven million, eighty-five thousand, eight hundred".