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BaseRepresentation
bin100000100000100
3211211110
410010010
51013034
6205020
766345
oct40404
924743
1016644
1111561
129770
137764
1460cc
154de9
hex4104

16644 has 24 divisors (see below), whose sum is σ = 41440. Its totient is φ = 5184.

The previous prime is 16633. The next prime is 16649. The reversal of 16644 is 44661.

16644 = T32 + T33 + ... + T50.

16644 is nontrivially palindromic in base 8.

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

16644 is an undulating number in base 8.

It is a nialpdrome in base 12 and base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 16644.

It is not an unprimeable number, because it can be changed into a prime (16649) by changing a digit.

16644 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 192 + ... + 264.

216644 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 16644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20720).

16644 is an abundant number, since it is smaller than the sum of its proper divisors (24796).

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

16644 is a wasteful number, since it uses less digits than its factorization.

16644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 97 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 16644 is about 129.0116273830. The cubic root of 16644 is about 25.5320627060.

It can be divided in two parts, 166 and 44, that added together give a triangular number (210 = T20).

The spelling of 16644 in words is "sixteen thousand, six hundred forty-four".