8120320 has 96 divisors (see below), whose sum is σ = 21326760. Its totient is φ = 2949120.

The previous prime is 8120317. The next prime is 8120363. The reversal of 8120320 is 230218.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2663424 + 5456896 = 1632^2 + 2336^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 8120294 and 8120303.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133090 + ... + 133150.

Almost surely, 2^8120320 is an apocalyptic number.

8120320 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 8120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10663380).

8120320 is an abundant number, since it is smaller than the sum of its proper divisors (13206440).

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

8120320 is a wasteful number, since it uses less digits than its factorization.

8120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 8120320 is about 2849.6175181943. The cubic root of 8120320 is about 200.9976815488.

Adding to 8120320 its reverse (230218), we get a palindrome (8350538).

The spelling of 8120320 in words is "eight million, one hundred twenty thousand, three hundred twenty".