8248320 has 132 divisors (see below), whose sum is σ = 28739880. Its totient is φ = 2187264.

The previous prime is 8248313. The next prime is 8248321. The reversal of 8248320 is 238428.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8248321) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 45991 + ... + 46169.

Almost surely, 2^8248320 is an apocalyptic number.

8248320 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 8248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14369940).

8248320 is an abundant number, since it is smaller than the sum of its proper divisors (20491560).

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

8248320 is a wasteful number, since it uses less digits than its factorization.

8248320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8248320 is about 2871.9888579171. The cubic root of 8248320 is about 202.0482843763.

The spelling of 8248320 in words is "eight million, two hundred forty-eight thousand, three hundred twenty".