205561200 has 120 divisors (see below), whose sum is σ = 709187248. Its totient is φ = 50595840.

The previous prime is 205561183. The next prime is 205561201. The reversal of 205561200 is 2165502.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205561201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9012 + ... + 22188.

Almost surely, 2^205561200 is an apocalyptic number.

205561200 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 205561200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354593624).

205561200 is an abundant number, since it is smaller than the sum of its proper divisors (503626048).

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

205561200 is a wasteful number, since it uses less digits than its factorization.

205561200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13211 (or 13200 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 205561200 is about 14337.4056230547. The cubic root of 205561200 is about 590.1744193695.

It can be divided in two parts, 205561 and 200, that added together give a triangular number (205761 = T₆₄₁).

The spelling of 205561200 in words is "two hundred five million, five hundred sixty-one thousand, two hundred".