205788960 has 144 divisors (see below), whose sum is σ = 756343224. Its totient is φ = 50651136.

The previous prime is 205788941. The next prime is 205788977. The reversal of 205788960 is 69887502.

It can be written as a sum of positive squares in 4 ways, for example, as 91470096 + 114318864 = 9564^2 + 10692^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13224 + ... + 24216.

Almost surely, 2^205788960 is an apocalyptic number.

205788960 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 205788960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378171612).

205788960 is an abundant number, since it is smaller than the sum of its proper divisors (550554264).

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

205788960 is a wasteful number, since it uses less digits than its factorization.

205788960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11027 (or 11016 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 205788960 is about 14345.3462837256. The cubic root of 205788960 is about 590.3923082700.

The spelling of 205788960 in words is "two hundred five million, seven hundred eighty-eight thousand, nine hundred sixty".