27144840 has 64 divisors (see below), whose sum is σ = 84072960. Its totient is φ = 7004160.

The previous prime is 27144839. The next prime is 27144847. The reversal of 27144840 is 4844172.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 27144798 and 27144807.

It is not an unprimeable number, because it can be changed into a prime (27144847) 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 15 ways as a sum of consecutive naturals, for example, 72 + ... + 7368.

It is an arithmetic number, because the mean of its divisors is an integer number (1313640).

Almost surely, 2^27144840 is an apocalyptic number.

27144840 is a gapful number since it is divisible by the number (20) 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 27144840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42036480).

27144840 is an abundant number, since it is smaller than the sum of its proper divisors (56928120).

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

27144840 is a wasteful number, since it uses less digits than its factorization.

27144840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7342 (or 7338 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 27144840 is about 5210.0710167905. The cubic root of 27144840 is about 300.5354880509.

The spelling of 27144840 in words is "twenty-seven million, one hundred forty-four thousand, eight hundred forty".