205897140 has 120 divisors (see below), whose sum is σ = 651004200. Its totient is φ = 54473472.

The previous prime is 205897073. The next prime is 205897151. The reversal of 205897140 is 41798502.

205897140 is a `hidden beast` number, since 2 + 0 + 589 + 71 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5731236 + 200165904 = 2394^2 + 14148^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 205897095 and 205897104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 240954 + ... + 241806.

It is an arithmetic number, because the mean of its divisors is an integer number (5425035).

Almost surely, 2^205897140 is an apocalyptic number.

205897140 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 205897140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325502100).

205897140 is an abundant number, since it is smaller than the sum of its proper divisors (445107060).

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

205897140 is a wasteful number, since it uses less digits than its factorization.

205897140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 205897140 is about 14349.1163490997. The cubic root of 205897140 is about 590.4957434456.

The spelling of 205897140 in words is "two hundred five million, eight hundred ninety-seven thousand, one hundred forty".