120684 has 24 divisors (see below), whose sum is σ = 287280. Its totient is φ = 39424.

The previous prime is 120677. The next prime is 120689. The reversal of 120684 is 486021.

It is a self number, because there is not a number n which added to its sum of digits gives 120684.

It is not an unprimeable number, because it can be changed into a prime (120689) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1012 + ... + 1124.

It is an arithmetic number, because the mean of its divisors is an integer number (11970).

2¹²⁰⁶⁸⁴ is an apocalyptic number.

It is an amenable number.

120684 is an abundant number, since it is smaller than the sum of its proper divisors (166596).

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

120684 is a wasteful number, since it uses less digits than its factorization.

120684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 120684 is about 347.3960276111. The cubic root of 120684 is about 49.4177800466.

The spelling of 120684 in words is "one hundred twenty thousand, six hundred eighty-four".