27144648 has 96 divisors (see below), whose sum is σ = 79241760. Its totient is φ = 8363520.

The previous prime is 27144647. The next prime is 27144683. The reversal of 27144648 is 84644172.

27144648 is a `hidden beast` number, since 2 + 7 + 1 + 4 + 4 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (27144647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81843 + ... + 82173.

It is an arithmetic number, because the mean of its divisors is an integer number (825435).

Almost surely, 2^27144648 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 27144648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39620880).

27144648 is an abundant number, since it is smaller than the sum of its proper divisors (52097112).

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

27144648 is a wasteful number, since it uses less digits than its factorization.

27144648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 420 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 27144648 is about 5210.0525909054. The cubic root of 27144648 is about 300.5347794699.

The spelling of 27144648 in words is "twenty-seven million, one hundred forty-four thousand, six hundred forty-eight".