13464 has 48 divisors (see below), whose sum is σ = 42120. Its totient is φ = 3840.

The previous prime is 13463. The next prime is 13469. The reversal of 13464 is 46431.

13464 = T₃₁ + T₃₂ + ... + T₄₇.

It is a super-3 number, since 3×13464³ = 7322233324032, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 784 + ... + 800.

2¹³⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21060).

13464 is an abundant number, since it is smaller than the sum of its proper divisors (28656).

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

13464 is a wasteful number, since it uses less digits than its factorization.

13464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 33 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 13464 is about 116.0344776349. The cubic root of 13464 is about 23.7898315906.

Adding to 13464 its reverse (46431), we get a palindrome (59895).

The spelling of 13464 in words is "thirteen thousand, four hundred sixty-four".