13518480 has 160 divisors (see below), whose sum is σ = 45711360. Its totient is φ = 3294720.

The previous prime is 13518473. The next prime is 13518499. The reversal of 13518480 is 8481531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171081 + ... + 171159.

It is an arithmetic number, because the mean of its divisors is an integer number (285696).

Almost surely, 2^13518480 is an apocalyptic number.

13518480 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 13518480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22855680).

13518480 is an abundant number, since it is smaller than the sum of its proper divisors (32192880).

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

13518480 is a wasteful number, since it uses less digits than its factorization.

13518480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 13518480 is about 3676.7485636089. The cubic root of 13518480 is about 238.2187570400.

The spelling of 13518480 in words is "thirteen million, five hundred eighteen thousand, four hundred eighty".