823984 has 30 divisors (see below), whose sum is σ = 1858884. Its totient is φ = 352800.

The previous prime is 823981. The next prime is 823993. The reversal of 823984 is 489328.

It is not an unprimeable number, because it can be changed into a prime (823981) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 259 + ... + 1309.

2⁸²³⁹⁸⁴ 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 823984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929442).

823984 is an abundant number, since it is smaller than the sum of its proper divisors (1034900).

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

823984 is a wasteful number, since it uses less digits than its factorization.

823984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1060 counting only the distinct ones).

The product of its digits is 13824, while the sum is 34.

The square root of 823984 is about 907.7356443371. The cubic root of 823984 is about 93.7503561468.

It can be divided in two parts, 8239 and 84, that multiplied together give a triangular number (692076 = T₁₁₇₆).

The spelling of 823984 in words is "eight hundred twenty-three thousand, nine hundred eighty-four".