205940 has 24 divisors (see below), whose sum is σ = 494592. Its totient is φ = 70560.

The previous prime is 205937. The next prime is 205949. The reversal of 205940 is 49502.

205940 = T₃₉ + T₄₀ + ... + T₁₀₈.

It is a super-2 number, since 2×205940² = 84822567200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205949) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 596 + ... + 875.

It is an arithmetic number, because the mean of its divisors is an integer number (20608).

2²⁰⁵⁹⁴⁰ is an apocalyptic number.

205940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205940 is an abundant number, since it is smaller than the sum of its proper divisors (288652).

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

205940 is a wasteful number, since it uses less digits than its factorization.

205940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 205940 is about 453.8061260054. The cubic root of 205940 is about 59.0536713566.

The spelling of 205940 in words is "two hundred five thousand, nine hundred forty".