13488480 has 288 divisors, whose sum is σ = 53071200. Its totient is φ = 3096576.

The previous prime is 13488479. The next prime is 13488487. The reversal of 13488480 is 8488431.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13488487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 465106 + ... + 465134.

It is an arithmetic number, because the mean of its divisors is an integer number (184275).

Almost surely, 2^13488480 is an apocalyptic number.

13488480 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 13488480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26535600).

13488480 is an abundant number, since it is smaller than the sum of its proper divisors (39582720).

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

13488480 is a wasteful number, since it uses less digits than its factorization.

13488480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 13488480 is about 3672.6666061596. Note that the first 4 decimals coincide. The cubic root of 13488480 is about 238.0424094094.

The spelling of 13488480 in words is "thirteen million, four hundred eighty-eight thousand, four hundred eighty".