205566340 has 48 divisors (see below), whose sum is σ = 501467904. Its totient is φ = 69321600.

The previous prime is 205566337. The next prime is 205566343. The reversal of 205566340 is 43665502.

205566340 is digitally balanced in base 3, 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 (205566337) and next prime (205566343).

It is not an unprimeable number, because it can be changed into a prime (205566343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3496 + ... + 20575.

It is an arithmetic number, because the mean of its divisors is an integer number (10447248).

Almost surely, 2^205566340 is an apocalyptic number.

205566340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205566340 is an abundant number, since it is smaller than the sum of its proper divisors (295901564).

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

205566340 is a wasteful number, since it uses less digits than its factorization.

205566340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24148 (or 24146 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 205566340 is about 14337.5848733320. The cubic root of 205566340 is about 590.1793383769.

It can be divided in two parts, 20556 and 6340, that added together give a square (26896 = 164²).

The spelling of 205566340 in words is "two hundred five million, five hundred sixty-six thousand, three hundred forty".