32604 has 48 divisors (see below), whose sum is σ = 94080. Its totient is φ = 8640.

The previous prime is 32603. The next prime is 32609. The reversal of 32604 is 40623.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32603) 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 15 ways as a sum of consecutive naturals, for example, 1707 + ... + 1725.

It is an arithmetic number, because the mean of its divisors is an integer number (1960).

2³²⁶⁰⁴ 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 32604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47040).

32604 is an abundant number, since it is smaller than the sum of its proper divisors (61476).

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

32604 is a wasteful number, since it uses less digits than its factorization.

32604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 32604 is about 180.5657774884. The cubic root of 32604 is about 31.9465252723.

It can be divided in two parts, 32 and 604, that added together give a palindrome (636).

The spelling of 32604 in words is "thirty-two thousand, six hundred four".