205763740 has 144 divisors (see below), whose sum is σ = 559851264. Its totient is φ = 62899200.

The previous prime is 205763737. The next prime is 205763783. The reversal of 205763740 is 47367502.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 205763696 and 205763705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 394680 + ... + 395200.

It is an arithmetic number, because the mean of its divisors is an integer number (3887856).

Almost surely, 2^205763740 is an apocalyptic number.

205763740 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 205763740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279925632).

205763740 is an abundant number, since it is smaller than the sum of its proper divisors (354087524).

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

205763740 is a wasteful number, since it uses less digits than its factorization.

205763740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 34.

The square root of 205763740 is about 14344.4672260771. The cubic root of 205763740 is about 590.3681892206.

The spelling of 205763740 in words is "two hundred five million, seven hundred sixty-three thousand, seven hundred forty".