205765140 has 96 divisors (see below), whose sum is σ = 676295424. Its totient is φ = 45757440.

The previous prime is 205765129. The next prime is 205765141. The reversal of 205765140 is 41567502.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 205765098 and 205765107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205765141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8920 + ... + 22160.

It is an arithmetic number, because the mean of its divisors is an integer number (7044744).

Almost surely, 2^205765140 is an apocalyptic number.

205765140 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 205765140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338147712).

205765140 is an abundant number, since it is smaller than the sum of its proper divisors (470530284).

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

205765140 is a wasteful number, since it uses less digits than its factorization.

205765140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13297 (or 13295 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 205765140 is about 14344.5160252969. The cubic root of 205765140 is about 590.3695281568.

The spelling of 205765140 in words is "two hundred five million, seven hundred sixty-five thousand, one hundred forty".