205170768 has 60 divisors (see below), whose sum is σ = 626397408. Its totient is φ = 62172480.

The previous prime is 205170767. The next prime is 205170793. The reversal of 205170768 is 867071502.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205170767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63180 + ... + 66347.

Almost surely, 2^205170768 is an apocalyptic number.

It is an amenable number.

205170768 is an abundant number, since it is smaller than the sum of its proper divisors (421226640).

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

205170768 is a wasteful number, since it uses less digits than its factorization.

205170768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129552 (or 129543 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 205170768 is about 14323.7832991148. The cubic root of 205170768 is about 589.8005339323.

The spelling of 205170768 in words is "two hundred five million, one hundred seventy thousand, seven hundred sixty-eight".