1166866560 has 448 divisors, whose sum is σ = 4354643160. Its totient is φ = 298598400.

The previous prime is 1166866537. The next prime is 1166866583. The reversal of 1166866560 is 656686611.

1166866560 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 86 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (1166866537) and next prime (1166866583).

It can be written as a sum of positive squares in 4 ways, for example, as 291180096 + 875686464 = 17064^2 + 29592^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 19128930 + ... + 19128990.

Almost surely, 2^1166866560 is an apocalyptic number.

1166866560 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 1166866560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177321580).

1166866560 is an abundant number, since it is smaller than the sum of its proper divisors (3187776600).

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

1166866560 is an frugal number, since it uses more digits than its factorization.

1166866560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1166866560 is about 34159.4285666491. The cubic root of 1166866560 is about 1052.7867198985.

The spelling of 1166866560 in words is "one billion, one hundred sixty-six million, eight hundred sixty-six thousand, five hundred sixty".