13004064 has 120 divisors (see below), whose sum is σ = 39792060. Its totient is φ = 4161024.

The previous prime is 13004063. The next prime is 13004071. The reversal of 13004064 is 46040031.

It can be written as a sum of positive squares in 2 ways, for example, as 12194064 + 810000 = 3492^2 + 900^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13004063) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 75082 + ... + 75254.

Almost surely, 2^13004064 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 13004064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19896030).

13004064 is an abundant number, since it is smaller than the sum of its proper divisors (26787996).

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

13004064 is a wasteful number, since it uses less digits than its factorization.

13004064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 207 counting only the distinct ones).

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

The square root of 13004064 is about 3606.1148068247. The cubic root of 13004064 is about 235.1579683325.

Adding to 13004064 its reverse (46040031), we get a palindrome (59044095).

The spelling of 13004064 in words is "thirteen million, four thousand, sixty-four".