205088000 has 288 divisors, whose sum is σ = 602652960. Its totient is φ = 68812800.

The previous prime is 205087999. The next prime is 205088011. The reversal of 205088000 is 880502.

It can be written as a sum of positive squares in 16 ways, for example, as 151388416 + 53699584 = 12304^2 + 7328^2 .

It is a super-2 number, since 2×205088000² = 84122175488000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7071986 + ... + 7072014.

It is an arithmetic number, because the mean of its divisors is an integer number (2092545).

Almost surely, 2^205088000 is an apocalyptic number.

205088000 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 205088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301326480).

205088000 is an abundant number, since it is smaller than the sum of its proper divisors (397564960).

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

205088000 is a wasteful number, since it uses less digits than its factorization.

205088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 205088000 is about 14320.8938268531. The cubic root of 205088000 is about 589.7212127292.

The spelling of 205088000 in words is "two hundred five million, eighty-eight thousand".