120580608 has 80 divisors (see below), whose sum is σ = 332434080. Its totient is φ = 38793216.

The previous prime is 120580589. The next prime is 120580619. The reversal of 120580608 is 806085021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43191 + ... + 45897.

It is an arithmetic number, because the mean of its divisors is an integer number (4155426).

Almost surely, 2^120580608 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 120580608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166217040).

120580608 is an abundant number, since it is smaller than the sum of its proper divisors (211853472).

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

120580608 is an equidigital number, since it uses as much as digits as its factorization.

120580608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2757 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 120580608 is about 10980.9201800213. The cubic root of 120580608 is about 494.0366366858.

The spelling of 120580608 in words is "one hundred twenty million, five hundred eighty thousand, six hundred eight".