205944960 has 256 divisors, whose sum is σ = 729308160. Its totient is φ = 49102848.

The previous prime is 205944917. The next prime is 205944961. The reversal of 205944960 is 69449502.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205944961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 923409 + ... + 923631.

It is an arithmetic number, because the mean of its divisors is an integer number (2848860).

Almost surely, 2^205944960 is an apocalyptic number.

205944960 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 205944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364654080).

205944960 is an abundant number, since it is smaller than the sum of its proper divisors (523363200).

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

205944960 is a wasteful number, since it uses less digits than its factorization.

205944960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 205944960 is about 14350.7825570594. The cubic root of 205944960 is about 590.5414544912.

The spelling of 205944960 in words is "two hundred five million, nine hundred forty-four thousand, nine hundred sixty".