1166005071 has 64 divisors (see below), whose sum is σ = 2203914240. Its totient is φ = 591585120.

The previous prime is 1166005069. The next prime is 1166005081. The reversal of 1166005071 is 1705006611.

1166005071 is a `hidden beast` number, since 1 + 1 + 6 + 600 + 50 + 7 + 1 = 666.

It is not a de Polignac number, because 1166005071 - 2¹ = 1166005069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1166005021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82876 + ... + 95918.

It is an arithmetic number, because the mean of its divisors is an integer number (34436160).

Almost surely, 2^1166005071 is an apocalyptic number.

1166005071 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1166005071 is a deficient number, since it is larger than the sum of its proper divisors (1037909169).

1166005071 is a wasteful number, since it uses less digits than its factorization.

1166005071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13113 (or 13107 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 1166005071 is about 34146.8164109043. The cubic root of 1166005071 is about 1052.5275678804.

The spelling of 1166005071 in words is "one billion, one hundred sixty-six million, five thousand, seventy-one".