205127340 has 96 divisors (see below), whose sum is σ = 653861376. Its totient is φ = 47562240.

The previous prime is 205127339. The next prime is 205127357. The reversal of 205127340 is 43721502.

It is a self number, because there is not a number n which added to its sum of digits gives 205127340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8424 + ... + 21936.

It is an arithmetic number, because the mean of its divisors is an integer number (6811056).

Almost surely, 2^205127340 is an apocalyptic number.

205127340 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 205127340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326930688).

205127340 is an abundant number, since it is smaller than the sum of its proper divisors (448734036).

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

205127340 is a wasteful number, since it uses less digits than its factorization.

205127340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13559 (or 13557 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 205127340 is about 14322.2672786120. The cubic root of 205127340 is about 589.7589171119.

Adding to 205127340 its reverse (43721502), we get a palindrome (248848842).

The spelling of 205127340 in words is "two hundred five million, one hundred twenty-seven thousand, three hundred forty".