205056060 has 96 divisors (see below), whose sum is σ = 633007872. Its totient is φ = 49182720.

The previous prime is 205056031. The next prime is 205056083. The reversal of 205056060 is 60650502.

205056060 is nontrivially palindromic in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 205056060.

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 31 ways as a sum of consecutive naturals, for example, 62419 + ... + 65621.

It is an arithmetic number, because the mean of its divisors is an integer number (6593832).

Almost surely, 2^205056060 is an apocalyptic number.

205056060 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 205056060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316503936).

205056060 is an abundant number, since it is smaller than the sum of its proper divisors (427951812).

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

205056060 is a wasteful number, since it uses less digits than its factorization.

205056060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3323 (or 3321 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 205056060 is about 14319.7786295739. The cubic root of 205056060 is about 589.6905971342.

It can be divided in two parts, 20505 and 6060, that added together give a triangular number (26565 = T₂₃₀).

The spelling of 205056060 in words is "two hundred five million, fifty-six thousand, sixty".