16806144 has 72 divisors (see below), whose sum is σ = 45458560. Its totient is φ = 5511168.

The previous prime is 16806071. The next prime is 16806173. The reversal of 16806144 is 44160861.

It is a super-2 number, since 2×16806144² = 564892952297472, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60534 + ... + 60810.

Almost surely, 2^16806144 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 16806144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22729280).

16806144 is an abundant number, since it is smaller than the sum of its proper divisors (28652416).

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

16806144 is an equidigital number, since it uses as much as digits as its factorization.

16806144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 16806144 is about 4099.5297291275. The cubic root of 16806144 is about 256.1470509318.

The spelling of 16806144 in words is "sixteen million, eight hundred six thousand, one hundred forty-four".