205973980 has 24 divisors (see below), whose sum is σ = 434604240. Its totient is φ = 81997440.

The previous prime is 205973969. The next prime is 205973981. The reversal of 205973980 is 89379502.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205973981) 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, 20185 + ... + 28624.

It is an arithmetic number, because the mean of its divisors is an integer number (18108510).

Almost surely, 2^205973980 is an apocalyptic number.

205973980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205973980 is an abundant number, since it is smaller than the sum of its proper divisors (228630260).

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

205973980 is a wasteful number, since it uses less digits than its factorization.

205973980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49029 (or 49027 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

The square root of 205973980 is about 14351.7936161304. The cubic root of 205973980 is about 590.5691912031.

The spelling of 205973980 in words is "two hundred five million, nine hundred seventy-three thousand, nine hundred eighty".