205060000 has 60 divisors (see below), whose sum is σ = 504527562. Its totient is φ = 82016000.

The previous prime is 205059971. The next prime is 205060003. The reversal of 205060000 is 60502.

205060000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 2396304 + 202663696 = 1548^2 + 14236^2 .

It is not an unprimeable number, because it can be changed into a prime (205060003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 14874 + ... + 25126.

Almost surely, 2^205060000 is an apocalyptic number.

205060000 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 205060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252263781).

205060000 is an abundant number, since it is smaller than the sum of its proper divisors (299467562).

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

205060000 is an equidigital number, since it uses as much as digits as its factorization.

205060000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10283 (or 10260 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 205060000 is about 14319.9162008721. The cubic root of 205060000 is about 589.6943739324.

The spelling of 205060000 in words is "two hundred five million, sixty thousand".