1166085072 has 140 divisors (see below), whose sum is σ = 3409307460. Its totient is φ = 386187264.

The previous prime is 1166085049. The next prime is 1166085077. The reversal of 1166085072 is 2705806611.

It can be written as a sum of positive squares in 2 ways, for example, as 800663616 + 365421456 = 28296^2 + 19116^2 .

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 (1166085077) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 2997454 + ... + 2997842.

It is a vampire number, since it can be written as 20817 ⋅ 56016 (with its own digits).

Almost surely, 2^1166085072 is an apocalyptic number.

1166085072 is a gapful number since it is divisible by the number (12) 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 1166085072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704653730).

1166085072 is an abundant number, since it is smaller than the sum of its proper divisors (2243222388).

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

1166085072 is an equidigital number, since it uses as much as digits as its factorization.

1166085072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1166085072 is about 34147.9878177324. The cubic root of 1166085072 is about 1052.5516390542.

The spelling of 1166085072 in words is "one billion, one hundred sixty-six million, eighty-five thousand, seventy-two".