27271944 has 128 divisors (see below), whose sum is σ = 91756800. Its totient is φ = 7326720.

The previous prime is 27271943. The next prime is 27271949. The reversal of 27271944 is 44917272.

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 a junction number, because it is equal to n+sod(n) for n = 27271899 and 27271908.

It is not an unprimeable number, because it can be changed into a prime (27271943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25174 + ... + 26234.

It is an arithmetic number, because the mean of its divisors is an integer number (716850).

Almost surely, 2^27271944 is an apocalyptic number.

27271944 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 27271944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45878400).

27271944 is an abundant number, since it is smaller than the sum of its proper divisors (64484856).

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

27271944 is a wasteful number, since it uses less digits than its factorization.

27271944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1090 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 27271944 is about 5222.2546854783. The cubic root of 27271944 is about 301.0038372892.

The spelling of 27271944 in words is "twenty-seven million, two hundred seventy-one thousand, nine hundred forty-four".