8135856 has 80 divisors (see below), whose sum is σ = 24031200. Its totient is φ = 2633472.

The previous prime is 8135839. The next prime is 8135861. The reversal of 8135856 is 6585318.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8135856.

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, 15730 + ... + 16238.

It is an arithmetic number, because the mean of its divisors is an integer number (300390).

Almost surely, 2^8135856 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 8135856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12015600).

8135856 is an abundant number, since it is smaller than the sum of its proper divisors (15895344).

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

8135856 is a wasteful number, since it uses less digits than its factorization.

8135856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 551 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 8135856 is about 2852.3421954597. The cubic root of 8135856 is about 201.1257844897.

It can be divided in two parts, 81 and 35856, that added together give a cube (35937 = 33³).

The spelling of 8135856 in words is "eight million, one hundred thirty-five thousand, eight hundred fifty-six".