1116800 has 48 divisors (see below), whose sum is σ = 2766750. Its totient is φ = 445440.

The previous prime is 1116751. The next prime is 1116809. The reversal of 1116800 is 86111.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 937024 + 179776 = 968^2 + 424^2 .

It is not an unprimeable number, because it can be changed into a prime (1116809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3026 + ... + 3374.

2^1116800 is an apocalyptic number.

1116800 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 1116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383375).

1116800 is an abundant number, since it is smaller than the sum of its proper divisors (1649950).

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

1116800 is an equidigital number, since it uses as much as digits as its factorization.

1116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

The square root of 1116800 is about 1056.7875850898. The cubic root of 1116800 is about 103.7508830428.

The spelling of 1116800 in words is "one million, one hundred sixteen thousand, eight hundred".