205669128 has 256 divisors, whose sum is σ = 676823040. Its totient is φ = 50688000.

The previous prime is 205669127. The next prime is 205669141. The reversal of 205669128 is 821966502.

It is not an unprimeable number, because it can be changed into a prime (205669127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2036278 + ... + 2036378.

It is an arithmetic number, because the mean of its divisors is an integer number (2643840).

Almost surely, 2^205669128 is an apocalyptic number.

205669128 is a gapful number since it is divisible by the number (28) 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 205669128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338411520).

205669128 is an abundant number, since it is smaller than the sum of its proper divisors (471153912).

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

205669128 is a wasteful number, since it uses less digits than its factorization.

205669128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 205669128 is about 14341.1689900091. The cubic root of 205669128 is about 590.2776898314.

The spelling of 205669128 in words is "two hundred five million, six hundred sixty-nine thousand, one hundred twenty-eight".