823608 has 80 divisors (see below), whose sum is σ = 2439360. Its totient is φ = 259200.

The previous prime is 823601. The next prime is 823619. The reversal of 823608 is 806328.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823601) by changing a digit.

823608 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 19 ways as a sum of consecutive naturals, for example, 20068 + ... + 20108.

It is an arithmetic number, because the mean of its divisors is an integer number (30492).

2⁸²³⁶⁰⁸ 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 823608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219680).

823608 is an abundant number, since it is smaller than the sum of its proper divisors (1615752).

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

823608 is a wasteful number, since it uses less digits than its factorization.

823608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 823608 is about 907.5285119488. The cubic root of 823608 is about 93.7360939374.

It can be divided in two parts, 823 and 608, that added together give a triangular number (1431 = T₅₃).

The spelling of 823608 in words is "eight hundred twenty-three thousand, six hundred eight".