13008480 has 96 divisors (see below), whose sum is σ = 42039648. Its totient is φ = 3379200.

The previous prime is 13008469. The next prime is 13008481. The reversal of 13008480 is 8480031.

13008480 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 tau number, because it is divible by the number of its divisors (96).

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 13008480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13008481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19350 + ... + 20010.

It is an arithmetic number, because the mean of its divisors is an integer number (437913).

Almost surely, 2^13008480 is an apocalyptic number.

13008480 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 13008480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21019824).

13008480 is an abundant number, since it is smaller than the sum of its proper divisors (29031168).

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

13008480 is a wasteful number, since it uses less digits than its factorization.

13008480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 13008480 is about 3606.7270481699. The cubic root of 13008480 is about 235.1845841162.

The spelling of 13008480 in words is "thirteen million, eight thousand, four hundred eighty".