27408320 has 56 divisors (see below), whose sum is σ = 66013584. Its totient is φ = 10838016.

The previous prime is 27408313. The next prime is 27408331. The reversal of 27408320 is 2380472.

It is a self number, because there is not a number n which added to its sum of digits gives 27408320.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 30599 + ... + 31481.

It is an arithmetic number, because the mean of its divisors is an integer number (1178814).

Almost surely, 2^27408320 is an apocalyptic number.

27408320 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 27408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33006792).

27408320 is an abundant number, since it is smaller than the sum of its proper divisors (38605264).

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

27408320 is an equidigital number, since it uses as much as digits as its factorization.

27408320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 27408320 is about 5235.2955981492. The cubic root of 27408320 is about 301.5047362403.

Adding to 27408320 its reverse (2380472), we get a palindrome (29788792).

The spelling of 27408320 in words is "twenty-seven million, four hundred eight thousand, three hundred twenty".