205006944 has 48 divisors (see below), whose sum is σ = 569803248. Its totient is φ = 64315392.

The previous prime is 205006943. The next prime is 205006951. The reversal of 205006944 is 449600502.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205006943) 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, 61177 + ... + 64440.

It is an arithmetic number, because the mean of its divisors is an integer number (11870901).

Almost surely, 2^205006944 is an apocalyptic number.

205006944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

205006944 is an abundant number, since it is smaller than the sum of its proper divisors (364796304).

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

205006944 is a wasteful number, since it uses less digits than its factorization.

205006944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125647 (or 125639 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 205006944 is about 14318.0635562216. The cubic root of 205006944 is about 589.6435115451.

The spelling of 205006944 in words is "two hundred five million, six thousand, nine hundred forty-four".