13008468 has 108 divisors (see below), whose sum is σ = 36584576. Its totient is φ = 3590400.

The previous prime is 13008461. The next prime is 13008469. The reversal of 13008468 is 86480031.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13008461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 419613 + ... + 419643.

Almost surely, 2^13008468 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 13008468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18292288).

13008468 is an abundant number, since it is smaller than the sum of its proper divisors (23576108).

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

13008468 is a wasteful number, since it uses less digits than its factorization.

13008468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 13008468 is about 3606.7253846114. The cubic root of 13008468 is about 235.1845117988.

Adding to 13008468 its reverse (86480031), we get a palindrome (99488499).

The spelling of 13008468 in words is "thirteen million, eight thousand, four hundred sixty-eight".