16866144 has 96 divisors (see below), whose sum is σ = 50006880. Its totient is φ = 5598720.

The previous prime is 16866133. The next prime is 16866149. The reversal of 16866144 is 44166861.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 16866099 and 16866108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16866149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69864 + ... + 70104.

It is an arithmetic number, because the mean of its divisors is an integer number (520905).

Almost surely, 2^16866144 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 16866144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25003440).

16866144 is an abundant number, since it is smaller than the sum of its proper divisors (33140736).

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

16866144 is an frugal number, since it uses more digits than its factorization.

16866144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 246 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 16866144 is about 4106.8411218356. The cubic root of 16866144 is about 256.4515143812.

The spelling of 16866144 in words is "sixteen million, eight hundred sixty-six thousand, one hundred forty-four".