1166762961 has 60 divisors (see below), whose sum is σ = 2183562612. Its totient is φ = 615408192.

The previous prime is 1166762959. The next prime is 1166762969. The reversal of 1166762961 is 1692676611.

1166762961 is a `hidden beast` number, since 1 + 16 + 6 + 7 + 629 + 6 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 326922561 + 839840400 = 18081^2 + 28980^2 .

It is not a de Polignac number, because 1166762961 - 2¹ = 1166762959 is a prime.

It is a super-2 number, since 2×1166762961² = 2722671614322975042, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1166762969) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 40291 + ... + 62903.

Almost surely, 2^1166762961 is an apocalyptic number.

It is an amenable number.

1166762961 is a deficient number, since it is larger than the sum of its proper divisors (1016799651).

1166762961 is a wasteful number, since it uses less digits than its factorization.

1166762961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22652 (or 22636 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 1166762961 is about 34157.9121288172. The cubic root of 1166762961 is about 1052.7555621286.

The spelling of 1166762961 in words is "one billion, one hundred sixty-six million, seven hundred sixty-two thousand, nine hundred sixty-one".