120684960 has 288 divisors, whose sum is σ = 474102720. Its totient is φ = 27648000.

The previous prime is 120684959. The next prime is 120684983. The reversal of 120684960 is 69486021.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300760 + ... + 301160.

It is an arithmetic number, because the mean of its divisors is an integer number (1646190).

Almost surely, 2^120684960 is an apocalyptic number.

120684960 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 120684960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237051360).

120684960 is an abundant number, since it is smaller than the sum of its proper divisors (353417760).

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

120684960 is a wasteful number, since it uses less digits than its factorization.

120684960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 120684960 is about 10985.6706668278. The cubic root of 120684960 is about 494.1791108015.

The spelling of 120684960 in words is "one hundred twenty million, six hundred eighty-four thousand, nine hundred sixty".