206848 has 24 divisors (see below), whose sum is σ = 417690. Its totient is φ = 102400.

The previous prime is 206827. The next prime is 206879. The reversal of 206848 is 848602.

It can be written as a sum of positive squares in only one way, i.e., 123904 + 82944 = 352^2 + 288^2 .

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1998 + ... + 2098.

206848 is a Friedman number, since it can be written as 808*4*2^6, using all its digits and the basic arithmetic operations.

2²⁰⁶⁸⁴⁸ 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 206848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208845).

206848 is an abundant number, since it is smaller than the sum of its proper divisors (210842).

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

206848 is an equidigital number, since it uses as much as digits as its factorization.

206848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 206848 is about 454.8054529137. The cubic root of 206848 is about 59.1403343337.

It can be divided in two parts, 2068 and 48, that added together give a square (2116 = 46²).

The spelling of 206848 in words is "two hundred six thousand, eight hundred forty-eight".