8523216 has 120 divisors (see below), whose sum is σ = 26743080. Its totient is φ = 2515968.

The previous prime is 8523211. The next prime is 8523223. The reversal of 8523216 is 6123258.

8523216 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 90000 + 8433216 = 300^2 + 2904^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 8523216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8523211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54210 + ... + 54366.

It is an arithmetic number, because the mean of its divisors is an integer number (222859).

Almost surely, 2^8523216 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 8523216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13371540).

8523216 is an abundant number, since it is smaller than the sum of its proper divisors (18219864).

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

8523216 is a wasteful number, since it uses less digits than its factorization.

8523216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 204 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 8523216 is about 2919.4547436122. The cubic root of 8523216 is about 204.2683895337.

The spelling of 8523216 in words is "eight million, five hundred twenty-three thousand, two hundred sixteen".