13008264 has 32 divisors (see below), whose sum is σ = 34434720. Its totient is φ = 4080896.

The previous prime is 13008263. The next prime is 13008299. The reversal of 13008264 is 46280031.

It is a happy number.

13008264 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (13008263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15534 + ... + 16349.

It is an arithmetic number, because the mean of its divisors is an integer number (1076085).

Almost surely, 2^13008264 is an apocalyptic number.

It is an amenable number.

13008264 is an abundant number, since it is smaller than the sum of its proper divisors (21426456).

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

13008264 is a wasteful number, since it uses less digits than its factorization.

13008264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31909 (or 31905 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 13008264 is about 3606.6971039997. The cubic root of 13008264 is about 235.1832823973.

Adding to 13008264 its reverse (46280031), we get a palindrome (59288295).

The spelling of 13008264 in words is "thirteen million, eight thousand, two hundred sixty-four".