1166317560 has 192 divisors, whose sum is σ = 3887563680. Its totient is φ = 303160320.

The previous prime is 1166317547. The next prime is 1166317567. The reversal of 1166317560 is 657136611.

1166317560 is a `hidden beast` number, since 1 + 1 + 66 + 31 + 7 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1166317567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3798927 + ... + 3799233.

Almost surely, 2^1166317560 is an apocalyptic number.

1166317560 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 1166317560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943781840).

1166317560 is an abundant number, since it is smaller than the sum of its proper divisors (2721246120).

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

1166317560 is a wasteful number, since it uses less digits than its factorization.

1166317560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1166317560 is about 34151.3917725179. The cubic root of 1166317560 is about 1052.6215851700.

The spelling of 1166317560 in words is "one billion, one hundred sixty-six million, three hundred seventeen thousand, five hundred sixty".