120786960 has 120 divisors (see below), whose sum is σ = 435614976. Its totient is φ = 27605760.

The previous prime is 120786949. The next prime is 120786979. The reversal of 120786960 is 69687021.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6625 + ... + 16895.

Almost surely, 2^120786960 is an apocalyptic number.

120786960 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 120786960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217807488).

120786960 is an abundant number, since it is smaller than the sum of its proper divisors (314828016).

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

120786960 is a wasteful number, since it uses less digits than its factorization.

120786960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10301 (or 10288 counting only the distinct ones).

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

The square root of 120786960 is about 10990.3120974793. The cubic root of 120786960 is about 494.3182943288.

The spelling of 120786960 in words is "one hundred twenty million, seven hundred eighty-six thousand, nine hundred sixty".