8291166120 has 96 divisors (see below), whose sum is σ = 27875507400. Its totient is φ = 2134734336.

The previous prime is 8291166119. The next prime is 8291166137. The reversal of 8291166120 is 216611928.

8291166120 is a `hidden beast` number, since 8 + 29 + 1 + 16 + 612 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7303069764 + 988096356 = 85458^2 + 31434^2 .

It is a super-3 number, since 3×8291166120³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 386647 + ... + 407526.

Almost surely, 2^8291166120 is an apocalyptic number.

It is an amenable number.

8291166120 is an abundant number, since it is smaller than the sum of its proper divisors (19584341280).

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

8291166120 is a wasteful number, since it uses less digits than its factorization.

8291166120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794219 (or 794212 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 8291166120 is about 91055.8406693387. The cubic root of 8291166120 is about 2023.9752876786.

The spelling of 8291166120 in words is "eight billion, two hundred ninety-one million, one hundred sixty-six thousand, one hundred twenty".