8538768 has 120 divisors (see below), whose sum is σ = 28087488. Its totient is φ = 2370816.

The previous prime is 8538767. The next prime is 8538779. The reversal of 8538768 is 8678358.

8538768 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (322560) is a multiple of the sum of its prime divisors (252).

It is not an unprimeable number, because it can be changed into a prime (8538767) 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 23 ways as a sum of consecutive naturals, for example, 43246 + ... + 43442.

Almost surely, 2^8538768 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 8538768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14043744).

8538768 is an abundant number, since it is smaller than the sum of its proper divisors (19548720).

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

8538768 is a wasteful number, since it uses less digits than its factorization.

8538768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 252 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 8538768 is about 2922.1170407771. The cubic root of 8538768 is about 204.3925543937.

The spelling of 8538768 in words is "eight million, five hundred thirty-eight thousand, seven hundred sixty-eight".