27540360 has 96 divisors (see below), whose sum is σ = 90431640. Its totient is φ = 7268352.

The previous prime is 27540347. The next prime is 27540371. The reversal of 27540360 is 6304572.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 22638564 + 4901796 = 4758^2 + 2214^2 .

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, 40342 + ... + 41018.

Almost surely, 2^27540360 is an apocalyptic number.

27540360 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 27540360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45215820).

27540360 is an abundant number, since it is smaller than the sum of its proper divisors (62891280).

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

27540360 is a wasteful number, since it uses less digits than its factorization.

27540360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 27540360 is about 5247.8910049657. The cubic root of 27540360 is about 301.9881287090.

The spelling of 27540360 in words is "twenty-seven million, five hundred forty thousand, three hundred sixty".