205023832 has 64 divisors (see below), whose sum is σ = 449971200. Its totient is φ = 86728320.

The previous prime is 205023803. The next prime is 205023853. The reversal of 205023832 is 238320502.

It is a junction number, because it is equal to n+sod(n) for n = 205023797 and 205023806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59583 + ... + 62929.

It is an arithmetic number, because the mean of its divisors is an integer number (7030800).

Almost surely, 2^205023832 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 205023832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224985600).

205023832 is an abundant number, since it is smaller than the sum of its proper divisors (244947368).

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

205023832 is a wasteful number, since it uses less digits than its factorization.

205023832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3416 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 205023832 is about 14318.6532886302. The cubic root of 205023832 is about 589.6597022588.

The spelling of 205023832 in words is "two hundred five million, twenty-three thousand, eight hundred thirty-two".