205085088 has 288 divisors, whose sum is σ = 700660800. Its totient is φ = 57853440.

The previous prime is 205085053. The next prime is 205085113. The reversal of 205085088 is 880580502.

205085088 is a `hidden beast` number, since 20 + 508 + 50 + 88 = 666.

205085088 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6615633 + ... + 6615663.

It is an arithmetic number, because the mean of its divisors is an integer number (2432850).

Almost surely, 2^205085088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205085088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350330400).

205085088 is an abundant number, since it is smaller than the sum of its proper divisors (495575712).

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

205085088 is a wasteful number, since it uses less digits than its factorization.

205085088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 205085088 is about 14320.7921568606. The cubic root of 205085088 is about 589.7184216082.

The spelling of 205085088 in words is "two hundred five million, eighty-five thousand, eighty-eight".