68208 has 60 divisors (see below), whose sum is σ = 212040. Its totient is φ = 18816.

The previous prime is 68207. The next prime is 68209. The reversal of 68208 is 80286.

It is an interprime number because it is at equal distance from previous prime (68207) and next prime (68209).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2338 + ... + 2366.

It is an arithmetic number, because the mean of its divisors is an integer number (3534).

2⁶⁸²⁰⁸ 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 68208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106020).

68208 is an abundant number, since it is smaller than the sum of its proper divisors (143832).

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

68208 is a wasteful number, since it uses less digits than its factorization.

68208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 41 counting only the distinct ones).

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

The square root of 68208 is about 261.1666134865. The cubic root of 68208 is about 40.8581255338.

It can be divided in two parts, 68 and 208, that added together give a triangular number (276 = T₂₃).

The spelling of 68208 in words is "sixty-eight thousand, two hundred eight".