8506784 has 72 divisors (see below), whose sum is σ = 19942020. Its totient is φ = 3569280.

The previous prime is 8506777. The next prime is 8506787. The reversal of 8506784 is 4876058.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2650384 + 5856400 = 1628^2 + 2420^2 .

It is not an unprimeable number, because it can be changed into a prime (8506787) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 654362 + ... + 654374.

Almost surely, 2^8506784 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 8506784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9971010).

8506784 is an abundant number, since it is smaller than the sum of its proper divisors (11435236).

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

8506784 is a wasteful number, since it uses less digits than its factorization.

8506784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 8506784 is about 2916.6391617751. The cubic root of 8506784 is about 204.1370346740.

The spelling of 8506784 in words is "eight million, five hundred six thousand, seven hundred eighty-four".