205120960 has 112 divisors (see below), whose sum is σ = 561075840. Its totient is φ = 70640640.

The previous prime is 205120957. The next prime is 205120987. The reversal of 205120960 is 69021502.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 65347 + ... + 68413.

Almost surely, 2^205120960 is an apocalyptic number.

205120960 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 205120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280537920).

205120960 is an abundant number, since it is smaller than the sum of its proper divisors (355954880).

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

205120960 is a wasteful number, since it uses less digits than its factorization.

205120960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3114 (or 3104 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 205120960 is about 14322.0445467817. The cubic root of 205120960 is about 589.7528026971.

The spelling of 205120960 in words is "two hundred five million, one hundred twenty thousand, nine hundred sixty".