208608 has 48 divisors (see below), whose sum is σ = 571536. Its totient is φ = 66560.

The previous prime is 208591. The next prime is 208609. The reversal of 208608 is 806802.

208608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208609) by changing a digit.

208608 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 7 ways as a sum of consecutive naturals, for example, 3910 + ... + 3962.

It is an arithmetic number, because the mean of its divisors is an integer number (11907).

2²⁰⁸⁶⁰⁸ 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 208608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285768).

208608 is an abundant number, since it is smaller than the sum of its proper divisors (362928).

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

208608 is a wasteful number, since it uses less digits than its factorization.

208608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 99 counting only the distinct ones).

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

The square root of 208608 is about 456.7362477404. The cubic root of 208608 is about 59.3075959015.

The spelling of 208608 in words is "two hundred eight thousand, six hundred eight".