1166047200 has 216 divisors, whose sum is σ = 4171514256. Its totient is φ = 306432000.

The previous prime is 1166047199. The next prime is 1166047213. The reversal of 1166047200 is 27406611.

It is a congruent number.

It is an unprimeable number.

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, 510060 + ... + 512340.

It is an arithmetic number, because the mean of its divisors is an integer number (19312566).

Almost surely, 2^1166047200 is an apocalyptic number.

1166047200 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 1166047200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085757128).

1166047200 is an abundant number, since it is smaller than the sum of its proper divisors (3005467056).

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

1166047200 is a wasteful number, since it uses less digits than its factorization.

1166047200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1166047200 is about 34147.4332856805. The cubic root of 1166047200 is about 1052.5402440402.

The spelling of 1166047200 in words is "one billion, one hundred sixty-six million, forty-seven thousand, two hundred".