16686144 has 84 divisors (see below), whose sum is σ = 48737520. Its totient is φ = 5456640.

The previous prime is 16686127. The next prime is 16686151. The reversal of 16686144 is 44168661.

16686144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 16686099 and 16686108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33739 + ... + 34229.

Almost surely, 2^16686144 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 16686144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24368760).

16686144 is an abundant number, since it is smaller than the sum of its proper divisors (32051376).

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

16686144 is a wasteful number, since it uses less digits than its factorization.

16686144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 555 counting only the distinct ones).

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

The square root of 16686144 is about 4084.8676845156. The cubic root of 16686144 is about 255.5359431564.

The spelling of 16686144 in words is "sixteen million, six hundred eighty-six thousand, one hundred forty-four".