27416 has 16 divisors (see below), whose sum is σ = 54000. Its totient is φ = 13024.

The previous prime is 27409. The next prime is 27427. The reversal of 27416 is 61472.

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 8.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 27416.

It is an unprimeable number.

27416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 110 + ... + 258.

It is an arithmetic number, because the mean of its divisors is an integer number (3375).

2²⁷⁴¹⁶ is an apocalyptic number.

It is an amenable number.

27416 is a deficient number, since it is larger than the sum of its proper divisors (26584).

27416 is a wasteful number, since it uses less digits than its factorization.

27416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 174 counting only the distinct ones).

The product of its digits is 336, while the sum is 20.

The square root of 27416 is about 165.5777762866. The cubic root of 27416 is about 30.1532894845.

Adding to 27416 its reverse (61472), we get a palindrome (88888).

The spelling of 27416 in words is "twenty-seven thousand, four hundred sixteen".