120768960 has 112 divisors (see below), whose sum is σ = 412979616. Its totient is φ = 29724672.

The previous prime is 120768931. The next prime is 120768971. The reversal of 120768960 is 69867021.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7642 + ... + 17318.

It is an arithmetic number, because the mean of its divisors is an integer number (3687318).

Almost surely, 2^120768960 is an apocalyptic number.

120768960 is a gapful number since it is divisible by the number (10) 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 120768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206489808).

120768960 is an abundant number, since it is smaller than the sum of its proper divisors (292210656).

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

120768960 is a wasteful number, since it uses less digits than its factorization.

120768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9710 (or 9700 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 120768960 is about 10989.4931639271. The cubic root of 120768960 is about 494.2937382251.

The spelling of 120768960 in words is "one hundred twenty million, seven hundred sixty-eight thousand, nine hundred sixty".