208848 has 40 divisors (see below), whose sum is σ = 570400. Its totient is φ = 65664.

The previous prime is 208843. The next prime is 208877. The reversal of 208848 is 848802.

It is a Cunningham number, because it is equal to 457²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208843) by changing a digit.

208848 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, 798 + ... + 1026.

It is an arithmetic number, because the mean of its divisors is an integer number (14260).

2²⁰⁸⁸⁴⁸ 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 208848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285200).

208848 is an abundant number, since it is smaller than the sum of its proper divisors (361552).

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

208848 is a wasteful number, since it uses less digits than its factorization.

208848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 208848 is about 456.9989059068. The cubic root of 208848 is about 59.3303313158.

The spelling of 208848 in words is "two hundred eight thousand, eight hundred forty-eight".