8120580 has 96 divisors (see below), whose sum is σ = 25401600. Its totient is φ = 1924608.

The previous prime is 8120573. The next prime is 8120591. The reversal of 8120580 is 850218.

8120580 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 8120580.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22441 + ... + 22799.

It is an arithmetic number, because the mean of its divisors is an integer number (264600).

Almost surely, 2^8120580 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8120580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12700800).

8120580 is an abundant number, since it is smaller than the sum of its proper divisors (17281020).

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

8120580 is a wasteful number, since it uses less digits than its factorization.

8120580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 8120580 is about 2849.6631379867. The cubic root of 8120580 is about 200.9998267368. Note that the first 3 decimals are identical.

Adding to 8120580 its reverse (850218), we get a palindrome (8970798).

The spelling of 8120580 in words is "eight million, one hundred twenty thousand, five hundred eighty".