120984 has 24 divisors (see below), whose sum is σ = 306780. Its totient is φ = 39760.

The previous prime is 120977. The next prime is 120997. The reversal of 120984 is 489021.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 120984.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1669 + ... + 1739.

2¹²⁰⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

120984 is an abundant number, since it is smaller than the sum of its proper divisors (185796).

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

120984 is an equidigital number, since it uses as much as digits as its factorization.

120984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 120984 is about 347.8275434752. The cubic root of 120984 is about 49.4586942427.

Multiplying 120984 by its sum of digits (24), we get a square (2903616 = 1704²).

120984 divided by its sum of digits (24) gives a square (5041 = 71²).

The spelling of 120984 in words is "one hundred twenty thousand, nine hundred eighty-four".