205968 has 40 divisors (see below), whose sum is σ = 609088. Its totient is φ = 58752.

The previous prime is 205967. The next prime is 205981. The reversal of 205968 is 869502.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (205963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30 + ... + 642.

2²⁰⁵⁹⁶⁸ is an apocalyptic number.

205968 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 205968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304544).

205968 is an abundant number, since it is smaller than the sum of its proper divisors (403120).

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

205968 is a wasteful number, since it uses less digits than its factorization.

205968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 205968 is about 453.8369751353. The cubic root of 205968 is about 59.0563475857.

The spelling of 205968 in words is "two hundred five thousand, nine hundred sixty-eight".