11008800 has 216 divisors, whose sum is σ = 42653520. Its totient is φ = 2649600.

The previous prime is 11008793. The next prime is 11008801. The reversal of 11008800 is 880011.

It is a happy number.

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

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (11008801) 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 35 ways as a sum of consecutive naturals, for example, 79131 + ... + 79269.

It is an arithmetic number, because the mean of its divisors is an integer number (197470).

Almost surely, 2^11008800 is an apocalyptic number.

11008800 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 11008800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21326760).

11008800 is an abundant number, since it is smaller than the sum of its proper divisors (31644720).

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

11008800 is a wasteful number, since it uses less digits than its factorization.

11008800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 11008800 is about 3317.9511750476. The cubic root of 11008800 is about 222.4572993847.

Adding to 11008800 its reverse (880011), we get a palindrome (11888811).

The spelling of 11008800 in words is "eleven million, eight thousand, eight hundred".