205930830 has 96 divisors (see below), whose sum is σ = 593602560. Its totient is φ = 45541440.

The previous prime is 205930793. The next prime is 205930831. The reversal of 205930830 is 38039502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205930831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43311 + ... + 47829.

It is an arithmetic number, because the mean of its divisors is an integer number (6183360).

Almost surely, 2^205930830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205930830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296801280).

205930830 is an abundant number, since it is smaller than the sum of its proper divisors (387671730).

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

205930830 is a wasteful number, since it uses less digits than its factorization.

205930830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4574 (or 4567 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 205930830 is about 14350.2902409673. The cubic root of 205930830 is about 590.5279483880.

The spelling of 205930830 in words is "two hundred five million, nine hundred thirty thousand, eight hundred thirty".