1166330880 has 704 divisors, whose sum is σ = 4952102400. Its totient is φ = 256573440.

The previous prime is 1166330873. The next prime is 1166330899. The reversal of 1166330880 is 880336611.

1166330880 is a `hidden beast` number, since 1 + 16 + 633 + 0 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19768291 + ... + 19768349.

Almost surely, 2^1166330880 is an apocalyptic number.

1166330880 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 1166330880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476051200).

1166330880 is an abundant number, since it is smaller than the sum of its proper divisors (3785771520).

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

1166330880 is a wasteful number, since it uses less digits than its factorization.

1166330880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1166330880 is about 34151.5867859753. The cubic root of 1166330880 is about 1052.6255923309.

The spelling of 1166330880 in words is "one billion, one hundred sixty-six million, three hundred thirty thousand, eight hundred eighty".