11164200 has 96 divisors (see below), whose sum is σ = 36158400. Its totient is φ = 2844160.

The previous prime is 11164199. The next prime is 11164207. The reversal of 11164200 is 246111.

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 11164200.

It is not an unprimeable number, because it can be changed into a prime (11164207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13396 + ... + 14204.

It is an arithmetic number, because the mean of its divisors is an integer number (376650).

Almost surely, 2^11164200 is an apocalyptic number.

11164200 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 11164200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18079200).

11164200 is an abundant number, since it is smaller than the sum of its proper divisors (24994200).

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

11164200 is a wasteful number, since it uses less digits than its factorization.

11164200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 842 counting only the distinct ones).

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

The square root of 11164200 is about 3341.2871771220. The cubic root of 11164200 is about 223.4991466818.

The spelling of 11164200 in words is "eleven million, one hundred sixty-four thousand, two hundred".