27947136 has 128 divisors (see below), whose sum is σ = 87442560. Its totient is φ = 7741440.

The previous prime is 27947113. The next prime is 27947137. The reversal of 27947136 is 63174972.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 27947094 and 27947103.

It is not an unprimeable number, because it can be changed into a prime (27947137) 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, 99316 + ... + 99596.

It is an arithmetic number, because the mean of its divisors is an integer number (683145).

Almost surely, 2^27947136 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 27947136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43721280).

27947136 is an abundant number, since it is smaller than the sum of its proper divisors (59495424).

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

27947136 is a wasteful number, since it uses less digits than its factorization.

27947136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 330 counting only the distinct ones).

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

The square root of 27947136 is about 5286.5050837013. The cubic root of 27947136 is about 303.4676741280.

The spelling of 27947136 in words is "twenty-seven million, nine hundred forty-seven thousand, one hundred thirty-six".