1166320800 has 216 divisors, whose sum is σ = 4292162784. Its totient is φ = 297454080.

The previous prime is 1166320789. The next prime is 1166320807. The reversal of 1166320800 is 80236611.

It is not an unprimeable number, because it can be changed into a prime (1166320807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 162079 + ... + 169121.

It is an arithmetic number, because the mean of its divisors is an integer number (19871124).

Almost surely, 2^1166320800 is an apocalyptic number.

1166320800 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 1166320800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146081392).

1166320800 is an abundant number, since it is smaller than the sum of its proper divisors (3125841984).

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

1166320800 is a wasteful number, since it uses less digits than its factorization.

1166320800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7092 (or 7076 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1166320800 is about 34151.4392083262. The cubic root of 1166320800 is about 1052.6225598876.

The spelling of 1166320800 in words is "one billion, one hundred sixty-six million, three hundred twenty thousand, eight hundred".