11116800 has 162 divisors, whose sum is σ = 39951002. Its totient is φ = 2949120.

The previous prime is 11116789. The next prime is 11116811. The reversal of 11116800 is 861111.

It is an interprime number because it is at equal distance from previous prime (11116789) and next prime (11116811).

It can be written as a sum of positive squares in 3 ways, for example, as 147456 + 10969344 = 384^2 + 3312^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57504 + ... + 57696.

Almost surely, 2^11116800 is an apocalyptic number.

11116800 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 11116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19975501).

11116800 is an abundant number, since it is smaller than the sum of its proper divisors (28834202).

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

11116800 is a wasteful number, since it uses less digits than its factorization.

11116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 11116800 is about 3334.1865574680. The cubic root of 11116800 is about 223.1823934931.

Adding to 11116800 its reverse (861111), we get a palindrome (11977911).

The spelling of 11116800 in words is "eleven million, one hundred sixteen thousand, eight hundred".