27147936 has 48 divisors (see below), whose sum is σ = 73198944. Its totient is φ = 8803584.

The previous prime is 27147919. The next prime is 27147947. The reversal of 27147936 is 63974172.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 27147894 and 27147903.

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, 270 + ... + 7373.

It is an arithmetic number, because the mean of its divisors is an integer number (1524978).

Almost surely, 2^27147936 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 27147936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36599472).

27147936 is an abundant number, since it is smaller than the sum of its proper divisors (46051008).

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

27147936 is a wasteful number, since it uses less digits than its factorization.

27147936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7693 (or 7685 counting only the distinct ones).

The product of its digits is 63504, while the sum is 39.

The square root of 27147936 is about 5210.3681251904. The cubic root of 27147936 is about 300.5469134575.

The spelling of 27147936 in words is "twenty-seven million, one hundred forty-seven thousand, nine hundred thirty-six".