205626016 has 48 divisors (see below), whose sum is σ = 431101440. Its totient is φ = 96209920.

The previous prime is 205625971. The next prime is 205626017. The reversal of 205626016 is 610626502.

It is not an unprimeable number, because it can be changed into a prime (205626017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102915 + ... + 104893.

It is an arithmetic number, because the mean of its divisors is an integer number (8981280).

Almost surely, 2^205626016 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 205626016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215550720).

205626016 is an abundant number, since it is smaller than the sum of its proper divisors (225475424).

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

205626016 is a wasteful number, since it uses less digits than its factorization.

205626016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 205626016 is about 14339.6658259528. The cubic root of 205626016 is about 590.2364426264.

The spelling of 205626016 in words is "two hundred five million, six hundred twenty-six thousand, sixteen".