8168711040 has 384 divisors, whose sum is σ = 33937113600. Its totient is φ = 1768697856.

The previous prime is 8168711029. The next prime is 8168711041. The reversal of 8168711040 is 401178618.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 8168710986 and 8168711004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8168711041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 760749 + ... + 771411.

It is an arithmetic number, because the mean of its divisors is an integer number (88377900).

Almost surely, 2^8168711040 is an apocalyptic number.

8168711040 is a gapful number since it is divisible by the number (80) 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 8168711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16968556800).

8168711040 is an abundant number, since it is smaller than the sum of its proper divisors (25768402560).

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

8168711040 is a wasteful number, since it uses less digits than its factorization.

8168711040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10714 (or 10699 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 8168711040 is about 90380.9218806713. The cubic root of 8168711040 is about 2013.9615639114.

Adding to 8168711040 its reverse (401178618), we get a palindrome (8569889658).

The spelling of 8168711040 in words is "eight billion, one hundred sixty-eight million, seven hundred eleven thousand, forty".