18464 has 12 divisors (see below), whose sum is σ = 36414. Its totient is φ = 9216.

The previous prime is 18461. The next prime is 18481. The reversal of 18464 is 46481.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 10000 + 8464 = 100^2 + 92^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 257 + ... + 320.

2¹⁸⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

18464 is a deficient number, since it is larger than the sum of its proper divisors (17950).

18464 is an equidigital number, since it uses as much as digits as its factorization.

18464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 579 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

The square root of 18464 is about 135.8823020117. The cubic root of 18464 is about 26.4306958534.

The spelling of 18464 in words is "eighteen thousand, four hundred sixty-four".