27108864 has 160 divisors (see below), whose sum is σ = 83967840. Its totient is φ = 8626176.

The previous prime is 27108857. The next prime is 27108869. The reversal of 27108864 is 46880172.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27108869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 511462 + ... + 511514.

It is an arithmetic number, because the mean of its divisors is an integer number (524799).

Almost surely, 2^27108864 is an apocalyptic number.

27108864 is a gapful number since it is divisible by the number (24) 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 27108864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41983920).

27108864 is an abundant number, since it is smaller than the sum of its proper divisors (56858976).

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

27108864 is an equidigital number, since it uses as much as digits as its factorization.

27108864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 27108864 is about 5206.6173279779. The cubic root of 27108864 is about 300.4026593098.

It can be divided in two parts, 27108 and 864, that added together give a palindrome (27972).

The spelling of 27108864 in words is "twenty-seven million, one hundred eight thousand, eight hundred sixty-four".