16326144 has 80 divisors (see below), whose sum is σ = 48367440. Its totient is φ = 5437440.

The previous prime is 16326133. The next prime is 16326151. The reversal of 16326144 is 44162361.

16326144 is a `hidden beast` number, since 16 + 32 + 614 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13234 + ... + 14414.

It is an arithmetic number, because the mean of its divisors is an integer number (604593).

Almost surely, 2^16326144 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 16326144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24183720).

16326144 is an abundant number, since it is smaller than the sum of its proper divisors (32041296).

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

16326144 is an equidigital number, since it uses as much as digits as its factorization.

16326144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1186 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 16326144 is about 4040.5623371011. The cubic root of 16326144 is about 253.6848551900.

It can be divided in two parts, 1632 and 6144, that added together give a 5-th power (7776 = 6⁵).

The spelling of 16326144 in words is "sixteen million, three hundred twenty-six thousand, one hundred forty-four".