893984 has 48 divisors (see below), whose sum is σ = 2173248. Its totient is φ = 352512.

The previous prime is 893939. The next prime is 893989. The reversal of 893984 is 489398.

It is a nialpdrome in base 16.

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 893984.

It is not an unprimeable number, because it can be changed into a prime (893989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2759 + ... + 3065.

It is an arithmetic number, because the mean of its divisors is an integer number (45276).

2⁸⁹³⁹⁸⁴ 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 893984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086624).

893984 is an abundant number, since it is smaller than the sum of its proper divisors (1279264).

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

893984 is a wasteful number, since it uses less digits than its factorization.

893984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 329 counting only the distinct ones).

The product of its digits is 62208, while the sum is 41.

The square root of 893984 is about 945.5072712571. The cubic root of 893984 is about 96.3333320030. Note that the first 5 decimals are identical.

The spelling of 893984 in words is "eight hundred ninety-three thousand, nine hundred eighty-four".