8268288 has 80 divisors (see below), whose sum is σ = 25206720. Its totient is φ = 2359296.

The previous prime is 8268283. The next prime is 8268301. The reversal of 8268288 is 8828628.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (8268283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10368 + ... + 11136.

It is an arithmetic number, because the mean of its divisors is an integer number (315084).

Almost surely, 2^8268288 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 8268288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12603360).

8268288 is an abundant number, since it is smaller than the sum of its proper divisors (16938432).

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

8268288 is an equidigital number, since it uses as much as digits as its factorization.

8268288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 781 counting only the distinct ones).

The product of its digits is 98304, while the sum is 42.

The square root of 8268288 is about 2875.4630931382. The cubic root of 8268288 is about 202.2111962931.

The spelling of 8268288 in words is "eight million, two hundred sixty-eight thousand, two hundred eighty-eight".