27243680 has 48 divisors (see below), whose sum is σ = 65948904. Its totient is φ = 10629120.

The previous prime is 27243653. The next prime is 27243709. The reversal of 27243680 is 8634272.

27243680 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 4 ways, for example, as 5973136 + 21270544 = 2444^2 + 4612^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 4484 + ... + 8636.

Almost surely, 2^27243680 is an apocalyptic number.

27243680 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 27243680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32974452).

27243680 is an abundant number, since it is smaller than the sum of its proper divisors (38705224).

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

27243680 is a wasteful number, since it uses less digits than its factorization.

27243680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4209 (or 4201 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 27243680 is about 5219.5478731400. The cubic root of 27243680 is about 300.8998169185.

The spelling of 27243680 in words is "twenty-seven million, two hundred forty-three thousand, six hundred eighty".