1166566000 has 80 divisors (see below), whose sum is σ = 2829060000. Its totient is φ = 465254400.

The previous prime is 1166565947. The next prime is 1166566021. The reversal of 1166566000 is 6656611.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 933376 + ... + 934624.

It is an arithmetic number, because the mean of its divisors is an integer number (35363250).

Almost surely, 2^1166566000 is an apocalyptic number.

1166566000 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 1166566000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414530000).

1166566000 is an abundant number, since it is smaller than the sum of its proper divisors (1662494000).

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

1166566000 is a wasteful number, since it uses less digits than its factorization.

1166566000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 1166566000 is about 34155.0289122993. The cubic root of 1166566000 is about 1052.6963203163.

The spelling of 1166566000 in words is "one billion, one hundred sixty-six million, five hundred sixty-six thousand".