16704 has 42 divisors (see below), whose sum is σ = 49530. Its totient is φ = 5376.

The previous prime is 16703. The next prime is 16729. The reversal of 16704 is 40761.

It can be written as a sum of positive squares in only one way, i.e., 14400 + 2304 = 120^2 + 48^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 13.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 562 + ... + 590.

2¹⁶⁷⁰⁴ 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 16704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24765).

16704 is an abundant number, since it is smaller than the sum of its proper divisors (32826).

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

16704 is a wasteful number, since it uses less digits than its factorization.

16704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 16704 is about 129.2439553712. The cubic root of 16704 is about 25.5627061136.

The spelling of 16704 in words is "sixteen thousand, seven hundred four".