11581200 has 90 divisors (see below), whose sum is σ = 40202474. Its totient is φ = 3087360.

The previous prime is 11581177. The next prime is 11581249. The reversal of 11581200 is 218511.

It can be written as a sum of positive squares in 3 ways, for example, as 2509056 + 9072144 = 1584^2 + 3012^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1992 + ... + 5208.

Almost surely, 2^11581200 is an apocalyptic number.

11581200 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 11581200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20101237).

11581200 is an abundant number, since it is smaller than the sum of its proper divisors (28621274).

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

11581200 is a wasteful number, since it uses less digits than its factorization.

11581200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3241 (or 3227 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 11581200 is about 3403.1162189969. The cubic root of 11581200 is about 226.2478810990.

Adding to 11581200 its reverse (218511), we get a palindrome (11799711).

It can be divided in two parts, 11581 and 200, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 11581200 in words is "eleven million, five hundred eighty-one thousand, two hundred".