206948 has 24 divisors (see below), whose sum is σ = 436800. Its totient is φ = 83808.

The previous prime is 206939. The next prime is 206951. The reversal of 206948 is 849602.

It is a self number, because there is not a number n which added to its sum of digits gives 206948.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 206948.

It is an unprimeable number.

206948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 338 + ... + 726.

It is an arithmetic number, because the mean of its divisors is an integer number (18200).

2²⁰⁶⁹⁴⁸ is an apocalyptic number.

206948 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 206948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218400).

206948 is an abundant number, since it is smaller than the sum of its proper divisors (229852).

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

206948 is a wasteful number, since it uses less digits than its factorization.

206948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 206948 is about 454.9153767460. The cubic root of 206948 is about 59.1498631998.

It can be divided in two parts, 20694 and 8, that added together give a palindrome (20702).

The spelling of 206948 in words is "two hundred six thousand, nine hundred forty-eight".