164016 has 60 divisors (see below), whose sum is σ = 493272. Its totient is φ = 50688.

The previous prime is 164011. The next prime is 164023. The reversal of 164016 is 610461.

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

It is a self number, because there is not a number n which added to its sum of digits gives 164016.

It is not an unprimeable number, because it can be changed into a prime (164011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2415 + ... + 2481.

2¹⁶⁴⁰¹⁶ is an apocalyptic number.

164016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246636).

164016 is an abundant number, since it is smaller than the sum of its proper divisors (329256).

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

164016 is a wasteful number, since it uses less digits than its factorization.

164016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 164016 is about 404.9888887365. The cubic root of 164016 is about 54.7388167563.

Adding to 164016 its reverse (610461), we get a palindrome (774477).

The spelling of 164016 in words is "one hundred sixty-four thousand, sixteen".