8563968 has 180 divisors, whose sum is σ = 29678880. Its totient is φ = 2405376.

The previous prime is 8563939. The next prime is 8563969. The reversal of 8563968 is 8693658.

8563968 is a `hidden beast` number, since 8 + 5 + 639 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8563969) 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 19 ways as a sum of consecutive naturals, for example, 145123 + ... + 145181.

Almost surely, 2^8563968 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 8563968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14839440).

8563968 is an abundant number, since it is smaller than the sum of its proper divisors (21114912).

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

8563968 is an equidigital number, since it uses as much as digits as its factorization.

8563968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 71 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 8563968 is about 2926.4258063378. The cubic root of 8563968 is about 204.5934277780.

The spelling of 8563968 in words is "eight million, five hundred sixty-three thousand, nine hundred sixty-eight".