16444032 has 128 divisors (see below), whose sum is σ = 50673600. Its totient is φ = 4669440.

The previous prime is 16444019. The next prime is 16444033. The reversal of 16444032 is 23044461.

16444032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×16444032³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 16443993 and 16444011.

It is not an unprimeable number, because it can be changed into a prime (16444033) 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, 71694 + ... + 71922.

Almost surely, 2^16444032 is an apocalyptic number.

16444032 is a gapful number since it is divisible by the number (12) 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 16444032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25336800).

16444032 is an abundant number, since it is smaller than the sum of its proper divisors (34229568).

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

16444032 is a wasteful number, since it uses less digits than its factorization.

16444032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 16444032 is about 4055.1241657932. The cubic root of 16444032 is about 254.2939948368.

Adding to 16444032 its reverse (23044461), we get a palindrome (39488493).

The spelling of 16444032 in words is "sixteen million, four hundred forty-four thousand, thirty-two".