27423648 has 144 divisors (see below), whose sum is σ = 90994176. Its totient is φ = 7672320.

The previous prime is 27423553. The next prime is 27423673. The reversal of 27423648 is 84632472.

27423648 is a `hidden beast` number, since 2 + 7 + 4 + 2 + 3 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 122865 + ... + 123087.

It is an arithmetic number, because the mean of its divisors is an integer number (631904).

Almost surely, 2^27423648 is an apocalyptic number.

27423648 is a gapful number since it is divisible by the number (28) 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 27423648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45497088).

27423648 is an abundant number, since it is smaller than the sum of its proper divisors (63570528).

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

27423648 is a wasteful number, since it uses less digits than its factorization.

27423648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 296 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 27423648 is about 5236.7593032333. The cubic root of 27423648 is about 301.5609308965.

The spelling of 27423648 in words is "twenty-seven million, four hundred twenty-three thousand, six hundred forty-eight".