27404320 has 48 divisors (see below), whose sum is σ = 65862720. Its totient is φ = 10772224.

The previous prime is 27404303. The next prime is 27404329. The reversal of 27404320 is 2340472.

It is a junction number, because it is equal to n+sod(n) for n = 27404291 and 27404300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27404329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7989 + ... + 10891.

It is an arithmetic number, because the mean of its divisors is an integer number (1372140).

Almost surely, 2^27404320 is an apocalyptic number.

27404320 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 27404320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32931360).

27404320 is an abundant number, since it is smaller than the sum of its proper divisors (38458400).

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

27404320 is a wasteful number, since it uses less digits than its factorization.

27404320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2977 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 27404320 is about 5234.9135618461. The cubic root of 27404320 is about 301.4900682172.

Adding to 27404320 its reverse (2340472), we get a palindrome (29744792).

The spelling of 27404320 in words is "twenty-seven million, four hundred four thousand, three hundred twenty".