8328320 has 192 divisors, whose sum is σ = 26879040. Its totient is φ = 2396160.

The previous prime is 8328319. The next prime is 8328337. The reversal of 8328320 is 238238.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 8328320.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 640634 + ... + 640646.

It is an arithmetic number, because the mean of its divisors is an integer number (139995).

Almost surely, 2^8328320 is an apocalyptic number.

8328320 is a gapful number since it is divisible by the number (80) 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 8328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13439520).

8328320 is an abundant number, since it is smaller than the sum of its proper divisors (18550720).

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

8328320 is a wasteful number, since it uses less digits than its factorization.

8328320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 8328320 is about 2885.8828805064. The cubic root of 8328320 is about 202.6994022221.

The spelling of 8328320 in words is "eight million, three hundred twenty-eight thousand, three hundred twenty".