8107123040 has 96 divisors (see below), whose sum is σ = 19466498016. Its totient is φ = 3190026240.

The previous prime is 8107123033. The next prime is 8107123051. The reversal of 8107123040 is 403217018.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6318239 + ... + 6319521.

It is an arithmetic number, because the mean of its divisors is an integer number (202776021).

Almost surely, 2^8107123040 is an apocalyptic number.

8107123040 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 8107123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9733249008).

8107123040 is an abundant number, since it is smaller than the sum of its proper divisors (11359374976).

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

8107123040 is a wasteful number, since it uses less digits than its factorization.

8107123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 8107123040 is about 90039.5637483879. The cubic root of 8107123040 is about 2008.8873688399.

The spelling of 8107123040 in words is "eight billion, one hundred seven million, one hundred twenty-three thousand, forty".