8105956320 has 1152 divisors, whose sum is σ = 36486858240. Its totient is φ = 1486356480.

The previous prime is 8105956283. The next prime is 8105956363. The reversal of 8105956320 is 236595018.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 83566512 + ... + 83566608.

It is an arithmetic number, because the mean of its divisors is an integer number (31672620).

Almost surely, 2^8105956320 is an apocalyptic number.

8105956320 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 8105956320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18243429120).

8105956320 is an abundant number, since it is smaller than the sum of its proper divisors (28380901920).

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

8105956320 is a wasteful number, since it uses less digits than its factorization.

8105956320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 8105956320 is about 90033.0845856122. The cubic root of 8105956320 is about 2008.7909959136.

The spelling of 8105956320 in words is "eight billion, one hundred five million, nine hundred fifty-six thousand, three hundred twenty".