13008960 has 84 divisors (see below), whose sum is σ = 44755308. Its totient is φ = 3468288.

The previous prime is 13008949. The next prime is 13008971. The reversal of 13008960 is 6980031.

It is an interprime number because it is at equal distance from previous prime (13008949) and next prime (13008971).

It can be written as a sum of positive squares in 2 ways, for example, as 1557504 + 11451456 = 1248^2 + 3384^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 622 + ... + 5138.

Almost surely, 2^13008960 is an apocalyptic number.

13008960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22377654).

13008960 is an abundant number, since it is smaller than the sum of its proper divisors (31746348).

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

13008960 is a wasteful number, since it uses less digits than its factorization.

13008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4540 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 13008960 is about 3606.7935898801. The cubic root of 13008960 is about 235.1874767732.

Adding to 13008960 its reverse (6980031), we get a palindrome (19988991).

The spelling of 13008960 in words is "thirteen million, eight thousand, nine hundred sixty".