1118067200 has 120 divisors (see below), whose sum is σ = 2798228268. Its totient is φ = 442695680.

The previous prime is 1118067199. The next prime is 1118067229. The reversal of 1118067200 is 27608111.

It can be written as a sum of positive squares in 6 ways, for example, as 3041536 + 1115025664 = 1744^2 + 33392^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1118067200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1446014 + ... + 1446786.

Almost surely, 2^1118067200 is an apocalyptic number.

1118067200 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 1118067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399114134).

1118067200 is an abundant number, since it is smaller than the sum of its proper divisors (1680161068).

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

1118067200 is an equidigital number, since it uses as much as digits as its factorization.

1118067200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 26.

The square root of 1118067200 is about 33437.5118691568. The cubic root of 1118067200 is about 1037.9010923190.

The spelling of 1118067200 in words is "one billion, one hundred eighteen million, sixty-seven thousand, two hundred".