27648800 has 144 divisors (see below), whose sum is σ = 75932640. Its totient is φ = 9768960.

The previous prime is 27648793. The next prime is 27648811. The reversal of 27648800 is 884672.

It is a super-2 number, since 2×27648800² = 1528912282880000, which contains 22 as substring.

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, 258347 + ... + 258453.

It is an arithmetic number, because the mean of its divisors is an integer number (527310).

Almost surely, 2^27648800 is an apocalyptic number.

27648800 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 27648800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37966320).

27648800 is an abundant number, since it is smaller than the sum of its proper divisors (48283840).

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

27648800 is a wasteful number, since it uses less digits than its factorization.

27648800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 27648800 is about 5258.2126240767. The cubic root of 27648800 is about 302.3839684306.

The spelling of 27648800 in words is "twenty-seven million, six hundred forty-eight thousand, eight hundred".