168804 has 30 divisors (see below), whose sum is σ = 442134. Its totient is φ = 56160.

The previous prime is 168803. The next prime is 168851. The reversal of 168804 is 408861.

It can be written as a sum of positive squares in only one way, i.e., 129600 + 39204 = 360^2 + 198^2 .

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

It is not an unprimeable number, because it can be changed into a prime (168803) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 64 + ... + 584.

2¹⁶⁸⁸⁰⁴ 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 168804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221067).

168804 is an abundant number, since it is smaller than the sum of its proper divisors (273330).

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

168804 is a wasteful number, since it uses less digits than its factorization.

168804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 168804 is about 410.8576395785. The cubic root of 168804 is about 55.2663663014.

The spelling of 168804 in words is "one hundred sixty-eight thousand, eight hundred four".