11200320 has 84 divisors (see below), whose sum is σ = 38534340. Its totient is φ = 2985984.

The previous prime is 11200313. The next prime is 11200327. The reversal of 11200320 is 2300211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11200313) and next prime (11200327).

It can be written as a sum of positive squares in 2 ways, for example, as 6110784 + 5089536 = 2472^2 + 2256^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200327) by changing a digit.

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, 936 + ... + 4824.

Almost surely, 2^11200320 is an apocalyptic number.

11200320 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 11200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19267170).

11200320 is an abundant number, since it is smaller than the sum of its proper divisors (27334020).

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

11200320 is a wasteful number, since it uses less digits than its factorization.

11200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3912 (or 3899 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 11200320 is about 3346.6879149392. The cubic root of 11200320 is about 223.7399192321.

Adding to 11200320 its reverse (2300211), we get a palindrome (13500531).

The spelling of 11200320 in words is "eleven million, two hundred thousand, three hundred twenty".