8108320 has 96 divisors (see below), whose sum is σ = 22208256. Its totient is φ = 2764800.

The previous prime is 8108297. The next prime is 8108333. The reversal of 8108320 is 238018.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 8108291 and 8108300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29785 + ... + 30055.

It is an arithmetic number, because the mean of its divisors is an integer number (231336).

Almost surely, 2^8108320 is an apocalyptic number.

8108320 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 8108320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11104128).

8108320 is an abundant number, since it is smaller than the sum of its proper divisors (14099936).

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

8108320 is a wasteful number, since it uses less digits than its factorization.

8108320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 8108320 is about 2847.5111940078. The cubic root of 8108320 is about 200.8986230030.

The spelling of 8108320 in words is "eight million, one hundred eight thousand, three hundred twenty".