1166086800 has 120 divisors (see below), whose sum is σ = 4150443680. Its totient is φ = 310953600.

The previous prime is 1166086787. The next prime is 1166086807. The reversal of 1166086800 is 86806611.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (1166086807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43186 + ... + 64785.

Almost surely, 2^1166086800 is an apocalyptic number.

1166086800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1166086800 is an abundant number, since it is smaller than the sum of its proper divisors (2984356880).

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

1166086800 is a wasteful number, since it uses less digits than its factorization.

1166086800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107998 (or 107981 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1166086800 is about 34148.0131193603. The cubic root of 1166086800 is about 1052.5521589729.

The spelling of 1166086800 in words is "one billion, one hundred sixty-six million, eighty-six thousand, eight hundred".