205341640 has 128 divisors (see below), whose sum is σ = 564537600. Its totient is φ = 65617920.

The previous prime is 205341629. The next prime is 205341659. The reversal of 205341640 is 46143502.

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 31 ways as a sum of consecutive naturals, for example, 851920 + ... + 852160.

It is an arithmetic number, because the mean of its divisors is an integer number (4410450).

Almost surely, 2^205341640 is an apocalyptic number.

205341640 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 205341640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282268800).

205341640 is an abundant number, since it is smaller than the sum of its proper divisors (359195960).

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

205341640 is a wasteful number, since it uses less digits than its factorization.

205341640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 205341640 is about 14329.7466830367. The cubic root of 205341640 is about 589.9642226701.

The spelling of 205341640 in words is "two hundred five million, three hundred forty-one thousand, six hundred forty".