205892980 has 48 divisors (see below), whose sum is σ = 445099536. Its totient is φ = 79953920.

The previous prime is 205892977. The next prime is 205892989. The reversal of 205892980 is 89298502.

205892980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 11792356 + 194100624 = 3434^2 + 13932^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205892989) 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, 210252 + ... + 211228.

It is an arithmetic number, because the mean of its divisors is an integer number (9272907).

Almost surely, 2^205892980 is an apocalyptic number.

205892980 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 205892980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222549768).

205892980 is an abundant number, since it is smaller than the sum of its proper divisors (239206556).

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

205892980 is a wasteful number, since it uses less digits than its factorization.

205892980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The square root of 205892980 is about 14348.9713917061. The cubic root of 205892980 is about 590.4917665750.

It can be divided in two parts, 205 and 892980, that multiplied together give a square (183060900 = 13530²).

The spelling of 205892980 in words is "two hundred five million, eight hundred ninety-two thousand, nine hundred eighty".