1166106760 has 192 divisors, whose sum is σ = 3420489600. Its totient is φ = 349360128.

The previous prime is 1166106751. The next prime is 1166106787. The reversal of 1166106760 is 676016611.

It is a super-3 number, since 3×1166106760³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 898432 + ... + 899728.

It is an arithmetic number, because the mean of its divisors is an integer number (17815050).

Almost surely, 2^1166106760 is an apocalyptic number.

1166106760 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 1166106760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710244800).

1166106760 is an abundant number, since it is smaller than the sum of its proper divisors (2254382840).

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

1166106760 is a wasteful number, since it uses less digits than its factorization.

1166106760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 1166106760 is about 34148.3053752306. The cubic root of 1166106760 is about 1052.5581644782.

The spelling of 1166106760 in words is "one billion, one hundred sixty-six million, one hundred six thousand, seven hundred sixty".