11267200 has 96 divisors (see below), whose sum is σ = 31872960. Its totient is φ = 3855360.

The previous prime is 11267197. The next prime is 11267213. The reversal of 11267200 is 276211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22149 + ... + 22651.

It is an arithmetic number, because the mean of its divisors is an integer number (332010).

Almost surely, 2^11267200 is an apocalyptic number.

11267200 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 11267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15936480).

11267200 is an abundant number, since it is smaller than the sum of its proper divisors (20605760).

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

11267200 is an equidigital number, since it uses as much as digits as its factorization.

11267200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 11267200 is about 3356.6650115852. The cubic root of 11267200 is about 224.1843720132.

The spelling of 11267200 in words is "eleven million, two hundred sixty-seven thousand, two hundred".