16804144 has 40 divisors (see below), whose sum is σ = 37854720. Its totient is φ = 7076928.

The previous prime is 16804111. The next prime is 16804153. The reversal of 16804144 is 44140861.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5337 + ... + 7879.

It is an arithmetic number, because the mean of its divisors is an integer number (946368).

Almost surely, 2^16804144 is an apocalyptic number.

16804144 is a gapful number since it is divisible by the number (14) 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 16804144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18927360).

16804144 is an abundant number, since it is smaller than the sum of its proper divisors (21050576).

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

16804144 is a wasteful number, since it uses less digits than its factorization.

16804144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2617 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 16804144 is about 4099.2857914520. The cubic root of 16804144 is about 256.1368896792.

The spelling of 16804144 in words is "sixteen million, eight hundred four thousand, one hundred forty-four".