823168 has 32 divisors (see below), whose sum is σ = 1683000. Its totient is φ = 400896.

The previous prime is 823153. The next prime is 823169. The reversal of 823168 is 861328.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823169) by changing a digit.

823168 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 3 ways as a sum of consecutive naturals, for example, 7498 + ... + 7606.

2⁸²³¹⁶⁸ 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 823168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841500).

823168 is an abundant number, since it is smaller than the sum of its proper divisors (859832).

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

823168 is a wasteful number, since it uses less digits than its factorization.

823168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 170 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 823168 is about 907.2860629372. The cubic root of 823168 is about 93.7193986049.

The spelling of 823168 in words is "eight hundred twenty-three thousand, one hundred sixty-eight".