27271296 has 128 divisors (see below), whose sum is σ = 86822400. Its totient is φ = 8377344.

The previous prime is 27271271. The next prime is 27271297. The reversal of 27271296 is 69217272.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 27271296.

It is not an unprimeable number, because it can be changed into a prime (27271297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44625 + ... + 45231.

It is an arithmetic number, because the mean of its divisors is an integer number (678300).

Almost surely, 2^27271296 is an apocalyptic number.

27271296 is a gapful number since it is divisible by the number (26) 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 27271296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43411200).

27271296 is an abundant number, since it is smaller than the sum of its proper divisors (59551104).

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

27271296 is a wasteful number, since it uses less digits than its factorization.

27271296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 625 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 27271296 is about 5222.1926429422. The cubic root of 27271296 is about 301.0014532514.

The spelling of 27271296 in words is "twenty-seven million, two hundred seventy-one thousand, two hundred ninety-six".