12064 has 24 divisors (see below), whose sum is σ = 26460. Its totient is φ = 5376.

The previous prime is 12049. The next prime is 12071. The reversal of 12064 is 46021.

It can be written as a sum of positive squares in 2 ways, for example, as 11664 + 400 = 108^2 + 20^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a plaindrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 402 + ... + 430.

2¹²⁰⁶⁴ 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 12064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13230).

12064 is an abundant number, since it is smaller than the sum of its proper divisors (14396).

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

12064 is a wasteful number, since it uses less digits than its factorization.

12064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 12064 is about 109.8362417420. The cubic root of 12064 is about 22.9349136583.

Adding to 12064 its reverse (46021), we get a palindrome (58085).

The spelling of 12064 in words is "twelve thousand, sixty-four".