205686768 has 80 divisors (see below), whose sum is σ = 612032256. Its totient is φ = 58306560.

The previous prime is 205686751. The next prime is 205686773. The reversal of 205686768 is 867686502.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 41680 + ... + 46352.

Almost surely, 2^205686768 is an apocalyptic number.

205686768 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 205686768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306016128).

205686768 is an abundant number, since it is smaller than the sum of its proper divisors (406345488).

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

205686768 is a wasteful number, since it uses less digits than its factorization.

205686768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4822 (or 4816 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 205686768 is about 14341.7839894485. The cubic root of 205686768 is about 590.2945651575.

The spelling of 205686768 in words is "two hundred five million, six hundred eighty-six thousand, seven hundred sixty-eight".