8088768 has 112 divisors (see below), whose sum is σ = 24709120. Its totient is φ = 2592000.

The previous prime is 8088761. The next prime is 8088791. The reversal of 8088768 is 8678808.

It is not an unprimeable number, because it can be changed into a prime (8088761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53493 + ... + 53643.

Almost surely, 2^8088768 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 8088768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12354560).

8088768 is an abundant number, since it is smaller than the sum of its proper divisors (16620352).

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

8088768 is a wasteful number, since it uses less digits than its factorization.

8088768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 8088768 is about 2844.0759483530. The cubic root of 8088768 is about 200.7370140486.

The spelling of 8088768 in words is "eight million, eighty-eight thousand, seven hundred sixty-eight".