13260480 has 112 divisors (see below), whose sum is σ = 44378880. Its totient is φ = 3345408.

The previous prime is 13260479. The next prime is 13260487. The reversal of 13260480 is 8406231.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13260480.

It is not an unprimeable number, because it can be changed into a prime (13260487) 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, 17877 + ... + 18603.

It is an arithmetic number, because the mean of its divisors is an integer number (396240).

Almost surely, 2^13260480 is an apocalyptic number.

13260480 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 13260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22189440).

13260480 is an abundant number, since it is smaller than the sum of its proper divisors (31118400).

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

13260480 is a wasteful number, since it uses less digits than its factorization.

13260480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 756 counting only the distinct ones).

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

The square root of 13260480 is about 3641.4941988145. The cubic root of 13260480 is about 236.6935454054.

The spelling of 13260480 in words is "thirteen million, two hundred sixty thousand, four hundred eighty".