205988000 has 96 divisors (see below), whose sum is σ = 528353280. Its totient is φ = 78777600.

The previous prime is 205987993. The next prime is 205988011. The reversal of 205988000 is 889502.

It is a super-2 number, since 2×205988000² = 84862112288000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90881 + ... + 93119.

It is an arithmetic number, because the mean of its divisors is an integer number (5503680).

Almost surely, 2^205988000 is an apocalyptic number.

205988000 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 205988000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264176640).

205988000 is an abundant number, since it is smaller than the sum of its proper divisors (322365280).

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

205988000 is a wasteful number, since it uses less digits than its factorization.

205988000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2287 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 205988000 is about 14352.2820485106. The cubic root of 205988000 is about 590.5825902940.

The spelling of 205988000 in words is "two hundred five million, nine hundred eighty-eight thousand".