27871120 has 20 divisors (see below), whose sum is σ = 64800540. Its totient is φ = 11148416.

The previous prime is 27871097. The next prime is 27871133. The reversal of 27871120 is 2117872.

It can be written as a sum of positive squares in 2 ways, for example, as 21641104 + 6230016 = 4652^2 + 2496^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 174115 + ... + 174274.

It is an arithmetic number, because the mean of its divisors is an integer number (3240027).

Almost surely, 2^27871120 is an apocalyptic number.

27871120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27871120 is an abundant number, since it is smaller than the sum of its proper divisors (36929420).

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

27871120 is a wasteful number, since it uses less digits than its factorization.

27871120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348402 (or 348396 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 28.

The square root of 27871120 is about 5279.3105610487. The cubic root of 27871120 is about 303.1922810231.

Adding to 27871120 its reverse (2117872), we get a palindrome (29988992).

The spelling of 27871120 in words is "twenty-seven million, eight hundred seventy-one thousand, one hundred twenty".