13006464 has 32 divisors (see below), whose sum is σ = 34549440. Its totient is φ = 4335360.

The previous prime is 13006459. The next prime is 13006489. The reversal of 13006464 is 46460031.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 16552 + ... + 17319.

It is an arithmetic number, because the mean of its divisors is an integer number (1079670).

Almost surely, 2^13006464 is an apocalyptic number.

It is an amenable number.

13006464 is an abundant number, since it is smaller than the sum of its proper divisors (21542976).

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

13006464 is an equidigital number, since it uses as much as digits as its factorization.

13006464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33888 (or 33876 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 13006464 is about 3606.4475595799. The cubic root of 13006464 is about 235.1724341797.

Adding to 13006464 its reverse (46460031), we get a palindrome (59466495).

The spelling of 13006464 in words is "thirteen million, six thousand, four hundred sixty-four".