8105856 has 128 divisors (see below), whose sum is σ = 24969600. Its totient is φ = 2304000.

The previous prime is 8105813. The next prime is 8105869. The reversal of 8105856 is 6585018.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 80206 + ... + 80306.

It is an arithmetic number, because the mean of its divisors is an integer number (195075).

Almost surely, 2^8105856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8105856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12484800).

8105856 is an abundant number, since it is smaller than the sum of its proper divisors (16863744).

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

8105856 is a wasteful number, since it uses less digits than its factorization.

8105856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 8105856 is about 2847.0785026058. The cubic root of 8105856 is about 200.8782708890.

It can be divided in two parts, 810 and 5856, that added together give a palindrome (6666).

The spelling of 8105856 in words is "eight million, one hundred five thousand, eight hundred fifty-six".