27240144 has 40 divisors (see below), whose sum is σ = 71370432. Its totient is φ = 8951040.

The previous prime is 27240139. The next prime is 27240151. The reversal of 27240144 is 44104272.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 589 + ... + 7404.

Almost surely, 2^27240144 is an apocalyptic number.

27240144 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 27240144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35685216).

27240144 is an abundant number, since it is smaller than the sum of its proper divisors (44130288).

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

27240144 is a wasteful number, since it uses less digits than its factorization.

27240144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8075 (or 8069 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 27240144 is about 5219.2091354917. The cubic root of 27240144 is about 300.8867982687.

The spelling of 27240144 in words is "twenty-seven million, two hundred forty thousand, one hundred forty-four".