204682032 has 80 divisors (see below), whose sum is σ = 590364000. Its totient is φ = 67896576.

The previous prime is 204682001. The next prime is 204682043. The reversal of 204682032 is 230286402.

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

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 204681987 and 204682005.

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, 97894 + ... + 99962.

It is an arithmetic number, because the mean of its divisors is an integer number (7379550).

Almost surely, 2^204682032 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 204682032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295182000).

204682032 is an abundant number, since it is smaller than the sum of its proper divisors (385681968).

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

204682032 is a wasteful number, since it uses less digits than its factorization.

204682032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 204682032 is about 14306.7128299970. The cubic root of 204682032 is about 589.3318415274.

It can be divided in two parts, 20468 and 2032, that added together give a square (22500 = 150²).

The spelling of 204682032 in words is "two hundred four million, six hundred eighty-two thousand, thirty-two".