8523648 has 144 divisors (see below), whose sum is σ = 28721160. Its totient is φ = 2419200.

The previous prime is 8523643. The next prime is 8523659. The reversal of 8523648 is 8463258.

8523648 is a `hidden beast` number, since 8 + 5 + 2 + 3 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8523643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56373 + ... + 56523.

Almost surely, 2^8523648 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 8523648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14360580).

8523648 is an abundant number, since it is smaller than the sum of its proper divisors (20197512).

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

8523648 is a wasteful number, since it uses less digits than its factorization.

8523648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 163 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 8523648 is about 2919.5287290931. The cubic root of 8523648 is about 204.2718405962.

The spelling of 8523648 in words is "eight million, five hundred twenty-three thousand, six hundred forty-eight".