993984 has 56 divisors (see below), whose sum is σ = 2731008. Its totient is φ = 318720.

The previous prime is 993983. The next prime is 993997. The reversal of 993984 is 489399.

It is not an unprimeable number, because it can be changed into a prime (993983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5869 + ... + 6035.

It is an arithmetic number, because the mean of its divisors is an integer number (48768).

2⁹⁹³⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365504).

993984 is an abundant number, since it is smaller than the sum of its proper divisors (1737024).

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

993984 is a wasteful number, since it uses less digits than its factorization.

993984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 203 counting only the distinct ones).

The product of its digits is 69984, while the sum is 42.

The square root of 993984 is about 996.9874623083. The cubic root of 993984 is about 99.7990631810.

The spelling of 993984 in words is "nine hundred ninety-three thousand, nine hundred eighty-four".