205740 has 60 divisors (see below), whose sum is σ = 650496. Its totient is φ = 54432.

The previous prime is 205721. The next prime is 205759. The reversal of 205740 is 47502.

It is a happy number.

205740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (205721) and next prime (205759).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1557 + ... + 1683.

2²⁰⁵⁷⁴⁰ is an apocalyptic number.

205740 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 205740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325248).

205740 is an abundant number, since it is smaller than the sum of its proper divisors (444756).

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

205740 is a wasteful number, since it uses less digits than its factorization.

205740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 205740 is about 453.5857140607. The cubic root of 205740 is about 59.0345483763.

The spelling of 205740 in words is "two hundred five thousand, seven hundred forty".