1166705568 has 144 divisors (see below), whose sum is σ = 3802256640. Its totient is φ = 332425728.

The previous prime is 1166705543. The next prime is 1166705591. The reversal of 1166705568 is 8655076611.

1166705568 is a `hidden beast` number, since 1 + 16 + 6 + 70 + 5 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1166705568² = 2722403764804405248, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1122393 + ... + 1123431.

It is an arithmetic number, because the mean of its divisors is an integer number (26404560).

Almost surely, 2^1166705568 is an apocalyptic number.

1166705568 is a gapful number since it is divisible by the number (18) 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 1166705568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901128320).

1166705568 is an abundant number, since it is smaller than the sum of its proper divisors (2635551072).

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

1166705568 is a wasteful number, since it uses less digits than its factorization.

1166705568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 1166705568 is about 34157.0720056623. The cubic root of 1166705568 is about 1052.7383001846.

The spelling of 1166705568 in words is "one billion, one hundred sixty-six million, seven hundred five thousand, five hundred sixty-eight".