823992 has 64 divisors (see below), whose sum is σ = 2352000. Its totient is φ = 238464.

The previous prime is 823981. The next prime is 823993. The reversal of 823992 is 299328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5859 + ... + 5997.

It is an arithmetic number, because the mean of its divisors is an integer number (36750).

2⁸²³⁹⁹² 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 823992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176000).

823992 is an abundant number, since it is smaller than the sum of its proper divisors (1528008).

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

823992 is a wasteful number, since it uses less digits than its factorization.

823992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 176 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 823992 is about 907.7400508956. The cubic root of 823992 is about 93.7506595509.

The spelling of 823992 in words is "eight hundred twenty-three thousand, nine hundred ninety-two".