27444144 has 160 divisors (see below), whose sum is σ = 89549824. Its totient is φ = 7050240.

The previous prime is 27444143. The next prime is 27444149. The reversal of 27444144 is 44144472.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27444143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266397 + ... + 266499.

Almost surely, 2^27444144 is an apocalyptic number.

27444144 is a gapful number since it is divisible by the number (24) 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 27444144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44774912).

27444144 is an abundant number, since it is smaller than the sum of its proper divisors (62105680).

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

27444144 is a wasteful number, since it uses less digits than its factorization.

27444144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 189 counting only the distinct ones).

The product of its digits is 14336, while the sum is 30.

The square root of 27444144 is about 5238.7158731888. The cubic root of 27444144 is about 301.6360394751.

The spelling of 27444144 in words is "twenty-seven million, four hundred forty-four thousand, one hundred forty-four".