11488200 has 96 divisors (see below), whose sum is σ = 36560160. Its totient is φ = 2982400.

The previous prime is 11488199. The next prime is 11488207. The reversal of 11488200 is 288411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11488207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24367 + ... + 24833.

It is an arithmetic number, because the mean of its divisors is an integer number (380835).

Almost surely, 2^11488200 is an apocalyptic number.

11488200 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 11488200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18280080).

11488200 is an abundant number, since it is smaller than the sum of its proper divisors (25071960).

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

11488200 is a wasteful number, since it uses less digits than its factorization.

11488200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 11488200 is about 3389.4247299505. The cubic root of 11488200 is about 225.6406432986.

The spelling of 11488200 in words is "eleven million, four hundred eighty-eight thousand, two hundred".