8328264 has 64 divisors (see below), whose sum is σ = 24105600. Its totient is φ = 2348544.

The previous prime is 8328253. The next prime is 8328311. The reversal of 8328264 is 4628238.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14674 + ... + 15230.

It is an arithmetic number, because the mean of its divisors is an integer number (376650).

Almost surely, 2^8328264 is an apocalyptic number.

8328264 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8328264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12052800).

8328264 is an abundant number, since it is smaller than the sum of its proper divisors (15777336).

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

8328264 is a wasteful number, since it uses less digits than its factorization.

8328264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 658 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 8328264 is about 2885.8731780867. The cubic root of 8328264 is about 202.6989479011.

The spelling of 8328264 in words is "eight million, three hundred twenty-eight thousand, two hundred sixty-four".