27240320 has 64 divisors (see below), whose sum is σ = 67271040. Its totient is φ = 10536960.

The previous prime is 27240313. The next prime is 27240337. The reversal of 27240320 is 2304272.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 27240292 and 27240301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19154 + ... + 20526.

It is an arithmetic number, because the mean of its divisors is an integer number (1051110).

Almost surely, 2^27240320 is an apocalyptic number.

27240320 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 27240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33635520).

27240320 is an abundant number, since it is smaller than the sum of its proper divisors (40030720).

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

27240320 is a wasteful number, since it uses less digits than its factorization.

27240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 27240320 is about 5219.2259962565. The cubic root of 27240320 is about 300.8874462825.

Adding to 27240320 its reverse (2304272), we get a palindrome (29544592).

The spelling of 27240320 in words is "twenty-seven million, two hundred forty thousand, three hundred twenty".