205880960 has 64 divisors (see below), whose sum is σ = 518119200. Its totient is φ = 78013440.

The previous prime is 205880923. The next prime is 205880963. The reversal of 205880960 is 69088502.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (205880963) 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, 3695 + ... + 20625.

Almost surely, 2^205880960 is an apocalyptic number.

205880960 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 205880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259059600).

205880960 is an abundant number, since it is smaller than the sum of its proper divisors (312238240).

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

205880960 is a wasteful number, since it uses less digits than its factorization.

205880960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16969 (or 16957 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 205880960 is about 14348.5525402390. The cubic root of 205880960 is about 590.4802754123.

The spelling of 205880960 in words is "two hundred five million, eight hundred eighty thousand, nine hundred sixty".