120468608 has 48 divisors (see below), whose sum is σ = 259924050. Its totient is φ = 55590912.

The previous prime is 120468589. The next prime is 120468617. The reversal of 120468608 is 806864021.

It can be written as a sum of positive squares in 3 ways, for example, as 40043584 + 80425024 = 6328^2 + 8968^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 18848 + ... + 24416.

Almost surely, 2^120468608 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 120468608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129962025).

120468608 is an abundant number, since it is smaller than the sum of its proper divisors (139455442).

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

120468608 is an equidigital number, since it uses as much as digits as its factorization.

120468608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5609 (or 5584 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 120468608 is about 10975.8192404941. The cubic root of 120468608 is about 493.8836290985.

The spelling of 120468608 in words is "one hundred twenty million, four hundred sixty-eight thousand, six hundred eight".