205016832 has 90 divisors (see below), whose sum is σ = 611384928. Its totient is φ = 68332032.

The previous prime is 205016827. The next prime is 205016849. The reversal of 205016832 is 238610502.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 205016796 and 205016805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 15793 + ... + 25679.

Almost surely, 2^205016832 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 205016832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305692464).

205016832 is an abundant number, since it is smaller than the sum of its proper divisors (406368096).

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

205016832 is an frugal number, since it uses more digits than its factorization.

205016832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9915 (or 9892 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 205016832 is about 14318.4088501481. The cubic root of 205016832 is about 589.6529913888.

The spelling of 205016832 in words is "two hundred five million, sixteen thousand, eight hundred thirty-two".