8127342168 has 192 divisors, whose sum is σ = 23325096960. Its totient is φ = 2337888000.

The previous prime is 8127342161. The next prime is 8127342193. The reversal of 8127342168 is 8612437218.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8127342161) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 41255446 + ... + 41255642.

It is an arithmetic number, because the mean of its divisors is an integer number (121484880).

Almost surely, 2^8127342168 is an apocalyptic number.

8127342168 is a gapful number since it is divisible by the number (88) 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 8127342168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11662548480).

8127342168 is an abundant number, since it is smaller than the sum of its proper divisors (15197754792).

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

8127342168 is a wasteful number, since it uses less digits than its factorization.

8127342168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 315 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 8127342168 is about 90151.7729609352. The cubic root of 8127342168 is about 2010.5560343810.

The spelling of 8127342168 in words is "eight billion, one hundred twenty-seven million, three hundred forty-two thousand, one hundred sixty-eight".