16566144 has 64 divisors (see below), whose sum is σ = 50298240. Its totient is φ = 4732416.

The previous prime is 16566131. The next prime is 16566181. The reversal of 16566144 is 44166561.

It is a happy number.

16566144 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 (64).

It is a zygodrome in base 2.

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, 394 + ... + 5769.

It is an arithmetic number, because the mean of its divisors is an integer number (785910).

Almost surely, 2^16566144 is an apocalyptic number.

16566144 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 16566144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25149120).

16566144 is an abundant number, since it is smaller than the sum of its proper divisors (33732096).

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

16566144 is an equidigital number, since it uses as much as digits as its factorization.

16566144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6187 (or 6175 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 16566144 is about 4070.1528226837. The cubic root of 16566144 is about 254.9218984190.

The spelling of 16566144 in words is "sixteen million, five hundred sixty-six thousand, one hundred forty-four".