823368 has 96 divisors (see below), whose sum is σ = 2635200. Its totient is φ = 209664.

The previous prime is 823357. The next prime is 823373. The reversal of 823368 is 863328.

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

Its product of digits (6912) is a multiple of the sum of its prime divisors (54).

It is a nialpdrome in base 7.

It is a zygodrome in base 13.

It is an unprimeable number.

823368 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 23 ways as a sum of consecutive naturals, for example, 28378 + ... + 28406.

It is an arithmetic number, because the mean of its divisors is an integer number (27450).

2⁸²³³⁶⁸ 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 823368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317600).

823368 is an abundant number, since it is smaller than the sum of its proper divisors (1811832).

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

823368 is a wasteful number, since it uses less digits than its factorization.

823368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 54 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 823368 is about 907.3962750640. The cubic root of 823368 is about 93.7269881297.

The spelling of 823368 in words is "eight hundred twenty-three thousand, three hundred sixty-eight".