205761240 has 96 divisors (see below), whose sum is σ = 675464400. Its totient is φ = 54316800.

The previous prime is 205761223. The next prime is 205761313. The reversal of 205761240 is 42167502.

205761240 is a `hidden beast` number, since 2 + 0 + 5 + 7 + 612 + 40 = 666.

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 23 ways as a sum of consecutive naturals, for example, 33531 + ... + 39189.

Almost surely, 2^205761240 is an apocalyptic number.

205761240 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 205761240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337732200).

205761240 is an abundant number, since it is smaller than the sum of its proper divisors (469703160).

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

205761240 is a wasteful number, since it uses less digits than its factorization.

205761240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5777 (or 5770 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 205761240 is about 14344.3800842002. The cubic root of 205761240 is about 590.3657982479.

The spelling of 205761240 in words is "two hundred five million, seven hundred sixty-one thousand, two hundred forty".