1116832000 has 144 divisors (see below), whose sum is σ = 2947259952. Its totient is φ = 420249600.

The previous prime is 1116831977. The next prime is 1116832019. The reversal of 1116832000 is 2386111.

It can be written as a sum of positive squares in 8 ways, for example, as 211062784 + 905769216 = 14528^2 + 30096^2 .

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 542974 + ... + 545026.

It is an arithmetic number, because the mean of its divisors is an integer number (20467083).

Almost surely, 2^1116832000 is an apocalyptic number.

1116832000 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 1116832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473629976).

1116832000 is an abundant number, since it is smaller than the sum of its proper divisors (1830427952).

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

1116832000 is an equidigital number, since it uses as much as digits as its factorization.

1116832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 1116832000 is about 33419.0364911976. The cubic root of 1116832000 is about 1037.5187396818.

The spelling of 1116832000 in words is "one billion, one hundred sixteen million, eight hundred thirty-two thousand".