8523936 has 72 divisors (see below), whose sum is σ = 25680564. Its totient is φ = 2672640.

The previous prime is 8523917. The next prime is 8523959. The reversal of 8523936 is 6393258.

It can be written as a sum of positive squares in 2 ways, for example, as 8088336 + 435600 = 2844^2 + 660^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 8523936.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4026 + ... + 5766.

Almost surely, 2^8523936 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 8523936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12840282).

8523936 is an abundant number, since it is smaller than the sum of its proper divisors (17156628).

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

8523936 is a wasteful number, since it uses less digits than its factorization.

8523936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1763 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 8523936 is about 2919.5780517054. The cubic root of 8523936 is about 204.2741412398.

The spelling of 8523936 in words is "eight million, five hundred twenty-three thousand, nine hundred thirty-six".