82608 has 20 divisors (see below), whose sum is σ = 213528. Its totient is φ = 27520.

The previous prime is 82601. The next prime is 82609. The reversal of 82608 is 80628.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 82608.

It is not an unprimeable number, because it can be changed into a prime (82601) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 813 + ... + 908.

2⁸²⁶⁰⁸ is an apocalyptic number.

It is an amenable number.

82608 is an abundant number, since it is smaller than the sum of its proper divisors (130920).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106764).

82608 is a wasteful number, since it uses less digits than its factorization.

82608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 82608 is about 287.4160747070. The cubic root of 82608 is about 43.5519263640.

The spelling of 82608 in words is "eighty-two thousand, six hundred eight".