11083200 has 84 divisors (see below), whose sum is σ = 36377880. Its totient is φ = 2954240.

The previous prime is 11083199. The next prime is 11083223. The reversal of 11083200 is 238011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11083200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3646 + ... + 5954.

It is an arithmetic number, because the mean of its divisors is an integer number (433070).

Almost surely, 2^11083200 is an apocalyptic number.

11083200 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 11083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18188940).

11083200 is an abundant number, since it is smaller than the sum of its proper divisors (25294680).

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

11083200 is a wasteful number, since it uses less digits than its factorization.

11083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 11083200 is about 3329.1440341325. The cubic root of 11083200 is about 222.9573138483.

The spelling of 11083200 in words is "eleven million, eighty-three thousand, two hundred".