67984 has 20 divisors (see below), whose sum is σ = 150784. Its totient is φ = 29088.

The previous prime is 67979. The next prime is 67987. The reversal of 67984 is 48976.

It is a d-powerful number, because it can be written as 6⁴ + 7⁵ + 9³ + 8⁵ + 4⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 192 + ... + 415.

2⁶⁷⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

67984 is an abundant number, since it is smaller than the sum of its proper divisors (82800).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75392).

67984 is a wasteful number, since it uses less digits than its factorization.

67984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 616 counting only the distinct ones).

The product of its digits is 12096, while the sum is 34.

The square root of 67984 is about 260.7374158037. The cubic root of 67984 is about 40.8133494699.

The spelling of 67984 in words is "sixty-seven thousand, nine hundred eighty-four".