27464 has 8 divisors (see below), whose sum is σ = 51510. Its totient is φ = 13728.

The previous prime is 27457. The next prime is 27479. The reversal of 27464 is 46472.

It can be written as a sum of positive squares in only one way, i.e., 24964 + 2500 = 158^2 + 50^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a nialpdrome in base 8.

It is an unprimeable number.

27464 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 as a sum of consecutive naturals, namely, 1709 + ... + 1724.

2²⁷⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

27464 is a deficient number, since it is larger than the sum of its proper divisors (24046).

27464 is a wasteful number, since it uses less digits than its factorization.

27464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3439 (or 3435 counting only the distinct ones).

The product of its digits is 1344, while the sum is 23.

The square root of 27464 is about 165.7226598869. The cubic root of 27464 is about 30.1708767089.

The spelling of 27464 in words is "twenty-seven thousand, four hundred sixty-four".