27318816 has 96 divisors (see below), whose sum is σ = 91082880. Its totient is φ = 7803648.

The previous prime is 27318799. The next prime is 27318853. The reversal of 27318816 is 61881372.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3790 + ... + 8306.

It is an arithmetic number, because the mean of its divisors is an integer number (948780).

Almost surely, 2^27318816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27318816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45541440).

27318816 is an abundant number, since it is smaller than the sum of its proper divisors (63764064).

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

27318816 is a wasteful number, since it uses less digits than its factorization.

27318816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4543 (or 4529 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 27318816 is about 5226.7404756693. The cubic root of 27318816 is about 301.1761826217.

The spelling of 27318816 in words is "twenty-seven million, three hundred eighteen thousand, eight hundred sixteen".