16544672 has 36 divisors (see below), whose sum is σ = 34620390. Its totient is φ = 7781376.

The previous prime is 16544657. The next prime is 16544677. The reversal of 16544672 is 27644561.

It can be written as a sum of positive squares in 3 ways, for example, as 16032016 + 512656 = 4004^2 + 716^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (16544677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8354 + ... + 10142.

Almost surely, 2^16544672 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 16544672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17310195).

16544672 is an abundant number, since it is smaller than the sum of its proper divisors (18075718).

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

16544672 is a wasteful number, since it uses less digits than its factorization.

16544672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1808 counting only the distinct ones).

The product of its digits is 40320, while the sum is 35.

The square root of 16544672 is about 4067.5142286168. The cubic root of 16544672 is about 254.8117128584.

It can be divided in two parts, 165 and 44672, that multiplied together give a triangular number (7370880 = T₃₈₃₉).

The spelling of 16544672 in words is "sixteen million, five hundred forty-four thousand, six hundred seventy-two".