205061200 has 60 divisors (see below), whose sum is σ = 494057788. Its totient is φ = 81792000.

The previous prime is 205061183. The next prime is 205061237. The reversal of 205061200 is 2160502.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 10291264 + 194769936 = 3208^2 + 13956^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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 11 ways as a sum of consecutive naturals, for example, 239974 + ... + 240826.

Almost surely, 2^205061200 is an apocalyptic number.

205061200 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 205061200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247028894).

205061200 is an abundant number, since it is smaller than the sum of its proper divisors (288996588).

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

205061200 is a wasteful number, since it uses less digits than its factorization.

205061200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 205061200 is about 14319.9581004974. The cubic root of 205061200 is about 589.6955242167.

The spelling of 205061200 in words is "two hundred five million, sixty-one thousand, two hundred".