16683216 has 80 divisors (see below), whose sum is σ = 49520640. Its totient is φ = 4786560.

The previous prime is 16683209. The next prime is 16683221. The reversal of 16683216 is 61238661.

16683216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×16683216² = 556659392205312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9201 + ... + 10863.

It is an arithmetic number, because the mean of its divisors is an integer number (619008).

Almost surely, 2^16683216 is an apocalyptic number.

16683216 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 16683216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24760320).

16683216 is an abundant number, since it is smaller than the sum of its proper divisors (32837424).

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

16683216 is a wasteful number, since it uses less digits than its factorization.

16683216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704 (or 1698 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 16683216 is about 4084.5092728503. The cubic root of 16683216 is about 255.5209955645.

It can be divided in two parts, 1668 and 3216, that added together give a palindrome (4884).

The spelling of 16683216 in words is "sixteen million, six hundred eighty-three thousand, two hundred sixteen".