120467984 has 160 divisors (see below), whose sum is σ = 315979776. Its totient is φ = 43130880.

The previous prime is 120467981. The next prime is 120468013. The reversal of 120467984 is 489764021.

It is not an unprimeable number, because it can be changed into a prime (120467981) 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 31 ways as a sum of consecutive naturals, for example, 767234 + ... + 767390.

Almost surely, 2^120467984 is an apocalyptic number.

120467984 is a gapful number since it is divisible by the number (14) 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 120467984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157989888).

120467984 is an abundant number, since it is smaller than the sum of its proper divisors (195511792).

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

120467984 is a wasteful number, since it uses less digits than its factorization.

120467984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 120467984 is about 10975.7908143332. The cubic root of 120467984 is about 493.8827763621.

The spelling of 120467984 in words is "one hundred twenty million, four hundred sixty-seven thousand, nine hundred eighty-four".