32704 has 28 divisors (see below), whose sum is σ = 75184. Its totient is φ = 13824.

The previous prime is 32693. The next prime is 32707. The reversal of 32704 is 40723.

It is a tau number, because it is divible by the number of its divisors (28).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 2 and base 8.

It is a zygodrome in base 2 and base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32707) by changing a digit.

32704 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 412 + ... + 484.

2³²⁷⁰⁴ 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 32704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37592).

32704 is an abundant number, since it is smaller than the sum of its proper divisors (42480).

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

32704 is an equidigital number, since it uses as much as digits as its factorization.

32704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 32704 is about 180.8424728873. The cubic root of 32704 is about 31.9791530886.

The spelling of 32704 in words is "thirty-two thousand, seven hundred four".