120360960 has 156 divisors (see below), whose sum is σ = 417839292. Its totient is φ = 32047104.

The previous prime is 120360931. The next prime is 120360967. The reversal of 120360960 is 69063021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 35426304 + 84934656 = 5952^2 + 9216^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120360967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183994 + ... + 184646.

It is an arithmetic number, because the mean of its divisors is an integer number (2678457).

Almost surely, 2^120360960 is an apocalyptic number.

120360960 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 120360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208919646).

120360960 is an abundant number, since it is smaller than the sum of its proper divisors (297478332).

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

120360960 is an equidigital number, since it uses as much as digits as its factorization.

120360960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 120360960 is about 10970.9142736601. The cubic root of 120360960 is about 493.7364775445.

The spelling of 120360960 in words is "one hundred twenty million, three hundred sixty thousand, nine hundred sixty".