205954960 has 20 divisors (see below), whose sum is σ = 478845468. Its totient is φ = 82381952.

The previous prime is 205954951. The next prime is 205954961. The reversal of 205954960 is 69459502.

It can be written as a sum of positive squares in 2 ways, for example, as 153363456 + 52591504 = 12384^2 + 7252^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (205954961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1287139 + ... + 1287298.

Almost surely, 2^205954960 is an apocalyptic number.

205954960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205954960 is an abundant number, since it is smaller than the sum of its proper divisors (272890508).

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

205954960 is a wasteful number, since it uses less digits than its factorization.

205954960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574450 (or 2574444 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 40.

The square root of 205954960 is about 14351.1309658856. The cubic root of 205954960 is about 590.5510125772.

The spelling of 205954960 in words is "two hundred five million, nine hundred fifty-four thousand, nine hundred sixty".