823392 has 48 divisors (see below), whose sum is σ = 2404080. Its totient is φ = 274176.

The previous prime is 823373. The next prime is 823399. The reversal of 823392 is 293328.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823399) by changing a digit.

823392 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 388 + ... + 1340.

It is an arithmetic number, because the mean of its divisors is an integer number (50085).

2⁸²³³⁹² 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 823392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202040).

823392 is an abundant number, since it is smaller than the sum of its proper divisors (1580688).

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

823392 is a wasteful number, since it uses less digits than its factorization.

823392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 958 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 823392 is about 907.4094996197. The cubic root of 823392 is about 93.7278987901.

The spelling of 823392 in words is "eight hundred twenty-three thousand, three hundred ninety-two".