823424 has 32 divisors (see below), whose sum is σ = 1876800. Its totient is φ = 352512.

The previous prime is 823421. The next prime is 823447. The reversal of 823424 is 424328.

It is a tau number, because it is divible by the number of its divisors (32).

It is a nialpdrome in base 7.

It is a zygodrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 823424.

It is not an unprimeable number, because it can be changed into a prime (823421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 437 + ... + 1355.

It is an arithmetic number, because the mean of its divisors is an integer number (58650).

2⁸²³⁴²⁴ 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 823424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938400).

823424 is an abundant number, since it is smaller than the sum of its proper divisors (1053376).

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

823424 is an equidigital number, since it uses as much as digits as its factorization.

823424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 928 counting only the distinct ones).

The product of its digits is 1536, while the sum is 23.

The square root of 823424 is about 907.4271320608. The cubic root of 823424 is about 93.7291129765.

It can be divided in two parts, 8 and 23424, that added together give a palindrome (23432).

The spelling of 823424 in words is "eight hundred twenty-three thousand, four hundred twenty-four".