205909088 has 144 divisors (see below), whose sum is σ = 521240832. Its totient is φ = 78355200.

The previous prime is 205909079. The next prime is 205909091. The reversal of 205909088 is 880909502.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1924331 + ... + 1924437.

It is an arithmetic number, because the mean of its divisors is an integer number (3619728).

Almost surely, 2^205909088 is an apocalyptic number.

205909088 is a gapful number since it is divisible by the number (28) 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 205909088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260620416).

205909088 is an abundant number, since it is smaller than the sum of its proper divisors (315331744).

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

205909088 is a wasteful number, since it uses less digits than its factorization.

205909088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 41.

The square root of 205909088 is about 14349.5326753173. The cubic root of 205909088 is about 590.5071651789.

The spelling of 205909088 in words is "two hundred five million, nine hundred nine thousand, eighty-eight".