27040000 has 135 divisors (see below), whose sum is σ = 73033653. Its totient is φ = 9984000.

The previous prime is 27039937. The next prime is 27040001. The reversal of 27040000 is 4072.

The square root of 27040000 is 5200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 26708224 + 331776 = 5168^2 + 576^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27040001) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2079994 + ... + 2080006.

Almost surely, 2^27040000 is an apocalyptic number.

27040000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27040000 is the 5200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27040000

27040000 is an abundant number, since it is smaller than the sum of its proper divisors (45993653).

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

27040000 is an frugal number, since it uses more digits than its factorization.

27040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The cubic root of 27040000 is about 300.1480750487.

Adding to 27040000 its reverse (4072), we get a palindrome (27044072).

The spelling of 27040000 in words is "twenty-seven million, forty thousand".