208768 has 32 divisors (see below), whose sum is σ = 477360. Its totient is φ = 89088.

The previous prime is 208759. The next prime is 208787. The reversal of 208768 is 867802.

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

It is a congruent number.

It is an unprimeable number.

208768 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, 780 + ... + 1012.

208768 is a Friedman number, since it can be written as (8^7-6^8)/(2+0), using all its digits and the basic arithmetic operations.

2²⁰⁸⁷⁶⁸ is an apocalyptic number.

208768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238680).

208768 is an abundant number, since it is smaller than the sum of its proper divisors (268592).

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

208768 is an equidigital number, since it uses as much as digits as its factorization.

208768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 208768 is about 456.9113699614. The cubic root of 208768 is about 59.3227547806.

The spelling of 208768 in words is "two hundred eight thousand, seven hundred sixty-eight".