8711640126 has 192 divisors, whose sum is σ = 24052723200. Its totient is φ = 2324754432.

The previous prime is 8711640059. The next prime is 8711640127. The reversal of 8711640126 is 6210461178.

It is a happy number.

8711640126 is a `hidden beast` number, since 8 + 7 + 1 + 1 + 640 + 1 + 2 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8711640127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2615230 + ... + 2618558.

It is an arithmetic number, because the mean of its divisors is an integer number (125274600).

Almost surely, 2^8711640126 is an apocalyptic number.

8711640126 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 8711640126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12026361600).

8711640126 is an abundant number, since it is smaller than the sum of its proper divisors (15341083074).

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

8711640126 is a wasteful number, since it uses less digits than its factorization.

8711640126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3420 (or 3407 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8711640126 is about 93336.1672986415. The cubic root of 8711640126 is about 2057.6269627906.

The spelling of 8711640126 in words is "eight billion, seven hundred eleven million, six hundred forty thousand, one hundred twenty-six".