205628760 has 128 divisors (see below), whose sum is σ = 700185600. Its totient is φ = 53654400.

The previous prime is 205628741. The next prime is 205628767. The reversal of 205628760 is 67826502.

205628760 is a `hidden beast` number, since 20 + 5 + 628 + 7 + 6 + 0 = 666.

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 (205628767) 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 31 ways as a sum of consecutive naturals, for example, 48735 + ... + 52785.

It is an arithmetic number, because the mean of its divisors is an integer number (5470200).

Almost surely, 2^205628760 is an apocalyptic number.

205628760 is a gapful number since it is divisible by the number (20) 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 205628760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350092800).

205628760 is an abundant number, since it is smaller than the sum of its proper divisors (494556840).

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

205628760 is a wasteful number, since it uses less digits than its factorization.

205628760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4118 (or 4108 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 205628760 is about 14339.7615042929. The cubic root of 205628760 is about 590.2390681074.

The spelling of 205628760 in words is "two hundred five million, six hundred twenty-eight thousand, seven hundred sixty".