206960 has 40 divisors (see below), whose sum is σ = 520800. Its totient is φ = 76032.

The previous prime is 206953. The next prime is 206993. The reversal of 206960 is 69602.

It is a tau number, because it is divible by the number of its divisors (40).

It is a plaindrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 206960.

It is an unprimeable number.

206960 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, 941 + ... + 1139.

It is an arithmetic number, because the mean of its divisors is an integer number (13020).

2²⁰⁶⁹⁶⁰ is an apocalyptic number.

206960 is a gapful number since it is divisible by the number (20) 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 206960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260400).

206960 is an abundant number, since it is smaller than the sum of its proper divisors (313840).

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

206960 is a wasteful number, since it uses less digits than its factorization.

206960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 206960 is about 454.9285658211. The cubic root of 206960 is about 59.1510064574.

The spelling of 206960 in words is "two hundred six thousand, nine hundred sixty".