205535000 has 160 divisors (see below), whose sum is σ = 544888080. Its totient is φ = 72000000.

The previous prime is 205534997. The next prime is 205535051. The reversal of 205535000 is 535502.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2034950 + ... + 2035050.

Almost surely, 2^205535000 is an apocalyptic number.

205535000 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 205535000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272444040).

205535000 is an abundant number, since it is smaller than the sum of its proper divisors (339353080).

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

205535000 is a wasteful number, since it uses less digits than its factorization.

205535000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 20.

The square root of 205535000 is about 14336.4919000431. The cubic root of 205535000 is about 590.1493445552.

The spelling of 205535000 in words is "two hundred five million, five hundred thirty-five thousand".