205701768 has 160 divisors (see below), whose sum is σ = 620991360. Its totient is φ = 63383040.

The previous prime is 205701763. The next prime is 205701781. The reversal of 205701768 is 867107502.

205701768 is a `hidden beast` number, since 20 + 570 + 1 + 7 + 68 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (205701763) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 782005 + ... + 782267.

It is an arithmetic number, because the mean of its divisors is an integer number (3881196).

Almost surely, 2^205701768 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 205701768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310495680).

205701768 is an abundant number, since it is smaller than the sum of its proper divisors (415289592).

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

205701768 is a wasteful number, since it uses less digits than its factorization.

205701768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 356 counting only the distinct ones).

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

The square root of 205701768 is about 14342.3069274089. The cubic root of 205701768 is about 590.3089141655.

The spelling of 205701768 in words is "two hundred five million, seven hundred one thousand, seven hundred sixty-eight".