205727016 has 64 divisors (see below), whose sum is σ = 563397120. Its totient is φ = 62083520.

The previous prime is 205726987. The next prime is 205727021. The reversal of 205727016 is 610727502.

It is a super-2 number, since 2×205727016² = 84647210224528512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67951 + ... + 70913.

It is an arithmetic number, because the mean of its divisors is an integer number (8803080).

Almost surely, 2^205727016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205727016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281698560).

205727016 is an abundant number, since it is smaller than the sum of its proper divisors (357670104).

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

205727016 is a wasteful number, since it uses less digits than its factorization.

205727016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3246 (or 3242 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 205727016 is about 14343.1870935298. The cubic root of 205727016 is about 590.3330648406. Note that the first 3 decimals are identical.

The spelling of 205727016 in words is "two hundred five million, seven hundred twenty-seven thousand, sixteen".