205434768 has 240 divisors, whose sum is σ = 692400128. Its totient is φ = 51321600.

The previous prime is 205434743. The next prime is 205434787. The reversal of 205434768 is 867434502.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1260255 + ... + 1260417.

Almost surely, 2^205434768 is an apocalyptic number.

205434768 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 205434768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346200064).

205434768 is an abundant number, since it is smaller than the sum of its proper divisors (486965360).

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

205434768 is a wasteful number, since it uses less digits than its factorization.

205434768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 205434768 is about 14332.9957789710. The cubic root of 205434768 is about 590.0533974462.

The spelling of 205434768 in words is "two hundred five million, four hundred thirty-four thousand, seven hundred sixty-eight".