205068500 has 96 divisors (see below), whose sum is σ = 551346432. Its totient is φ = 64886400.

The previous prime is 205068499. The next prime is 205068509. The reversal of 205068500 is 5860502.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 205068500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205068509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43247 + ... + 47753.

It is an arithmetic number, because the mean of its divisors is an integer number (5743192).

Almost surely, 2^205068500 is an apocalyptic number.

205068500 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 205068500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275673216).

205068500 is an abundant number, since it is smaller than the sum of its proper divisors (346277932).

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

205068500 is a wasteful number, since it uses less digits than its factorization.

205068500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4546 (or 4534 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 205068500 is about 14320.2129872429. The cubic root of 205068500 is about 589.7025216826.

The spelling of 205068500 in words is "two hundred five million, sixty-eight thousand, five hundred".