27241344 has 192 divisors, whose sum is σ = 90221040. Its totient is φ = 7815168.

The previous prime is 27241339. The next prime is 27241349. The reversal of 27241344 is 44314272.

It is an interprime number because it is at equal distance from previous prime (27241339) and next prime (27241349).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27241349) 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 23 ways as a sum of consecutive naturals, for example, 254539 + ... + 254645.

Almost surely, 2^27241344 is an apocalyptic number.

27241344 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 27241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45110520).

27241344 is an abundant number, since it is smaller than the sum of its proper divisors (62979696).

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

27241344 is a wasteful number, since it uses less digits than its factorization.

27241344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 142 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 27241344 is about 5219.3240941716. The cubic root of 27241344 is about 300.8912164888.

It can be divided in two parts, 272 and 41344, that added together give a triangular number (41616 = T₂₈₈).

The spelling of 27241344 in words is "twenty-seven million, two hundred forty-one thousand, three hundred forty-four".