16805968 has 30 divisors (see below), whose sum is σ = 33676602. Its totient is φ = 8124480.

The previous prime is 16805953. The next prime is 16805969. The reversal of 16805968 is 86950861.

It can be written as a sum of positive squares in only one way, i.e., 16744464 + 61504 = 4092^2 + 248^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16805969) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14830 + ... + 15922.

Almost surely, 2^16805968 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 16805968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16838301).

16805968 is an abundant number, since it is smaller than the sum of its proper divisors (16870634).

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

16805968 is a wasteful number, since it uses less digits than its factorization.

16805968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The square root of 16805968 is about 4099.5082631945. The cubic root of 16805968 is about 256.1461567740.

The spelling of 16805968 in words is "sixteen million, eight hundred five thousand, nine hundred sixty-eight".