1001166180 has 96 divisors (see below), whose sum is σ = 3234975744. Its totient is φ = 226606464.

The previous prime is 1001166163. The next prime is 1001166211. The reversal of 1001166180 is 816611001.

It is a self number, because there is not a number n which added to its sum of digits gives 1001166180.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31689 + ... + 54831.

It is an arithmetic number, because the mean of its divisors is an integer number (33697664).

Almost surely, 2^1001166180 is an apocalyptic number.

1001166180 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 1001166180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617487872).

1001166180 is an abundant number, since it is smaller than the sum of its proper divisors (2233809564).

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

1001166180 is a wasteful number, since it uses less digits than its factorization.

1001166180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23265 (or 23263 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 1001166180 is about 31641.2101538484. The cubic root of 1001166180 is about 1000.3885756561.

Adding to 1001166180 its reverse (816611001), we get a palindrome (1817777181).

The spelling of 1001166180 in words is "one billion, one million, one hundred sixty-six thousand, one hundred eighty".