11085600 has 144 divisors (see below), whose sum is σ = 37497600. Its totient is φ = 2841600.

The previous prime is 11085589. The next prime is 11085611. The reversal of 11085600 is 658011.

It is an interprime number because it is at equal distance from previous prime (11085589) and next prime (11085611).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74326 + ... + 74474.

It is an arithmetic number, because the mean of its divisors is an integer number (260400).

Almost surely, 2^11085600 is an apocalyptic number.

11085600 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 11085600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800).

11085600 is an abundant number, since it is smaller than the sum of its proper divisors (26412000).

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

11085600 is a wasteful number, since it uses less digits than its factorization.

11085600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 11085600 is about 3329.5044676348. The cubic root of 11085600 is about 222.9734060399.

It can be divided in two parts, 1 and 1085600, that added together give a triangular number (1085601 = T₁₄₇₃).

The spelling of 11085600 in words is "eleven million, eighty-five thousand, six hundred".