205673256 has 96 divisors (see below), whose sum is σ = 581380800. Its totient is φ = 68117760.

The previous prime is 205673243. The next prime is 205673267. The reversal of 205673256 is 652376502.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 205673256.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 468285 + ... + 468723.

It is an arithmetic number, because the mean of its divisors is an integer number (6056050).

Almost surely, 2^205673256 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 205673256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290690400).

205673256 is an abundant number, since it is smaller than the sum of its proper divisors (375707544).

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

205673256 is a wasteful number, since it uses less digits than its factorization.

205673256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 205673256 is about 14341.3129106090. The cubic root of 205673256 is about 590.2816389738.

The spelling of 205673256 in words is "two hundred five million, six hundred seventy-three thousand, two hundred fifty-six".