8505856 has 40 divisors (see below), whose sum is σ = 17493300. Its totient is φ = 4128768.

The previous prime is 8505841. The next prime is 8505859. The reversal of 8505856 is 6585058.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7840000 + 665856 = 2800^2 + 816^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

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

It is not an unprimeable number, because it can be changed into a prime (8505859) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18720 + ... + 19168.

Almost surely, 2^8505856 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 8505856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8746650).

8505856 is an abundant number, since it is smaller than the sum of its proper divisors (8987444).

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

8505856 is an equidigital number, since it uses as much as digits as its factorization.

8505856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 37.

The square root of 8505856 is about 2916.4800702216. The cubic root of 8505856 is about 204.1296113416.

The spelling of 8505856 in words is "eight million, five hundred five thousand, eight hundred fifty-six".