120807968 has 54 divisors (see below), whose sum is σ = 250056261. Its totient is φ = 57450624.

The previous prime is 120807949. The next prime is 120808013. The reversal of 120807968 is 869708021.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 120736144 + 71824 = 10988^2 + 268^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7772.

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 8 ways as a sum of consecutive naturals, for example, 1803071 + ... + 1803137.

Almost surely, 2^120807968 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 120807968

120807968 is an abundant number, since it is smaller than the sum of its proper divisors (129248293).

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

120807968 is an frugal number, since it uses more digits than its factorization.

120807968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 41.

The square root of 120807968 is about 10991.2678067637. The cubic root of 120807968 is about 494.3469509451.

The spelling of 120807968 in words is "one hundred twenty million, eight hundred seven thousand, nine hundred sixty-eight".