13608480 has 48 divisors (see below), whose sum is σ = 42868224. Its totient is φ = 3628800.

The previous prime is 13608457. The next prime is 13608481. The reversal of 13608480 is 8480631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (13608481) 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 7 ways as a sum of consecutive naturals, for example, 13696 + ... + 14655.

It is an arithmetic number, because the mean of its divisors is an integer number (893088).

Almost surely, 2^13608480 is an apocalyptic number.

13608480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13608480 is an abundant number, since it is smaller than the sum of its proper divisors (29259744).

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

13608480 is a wasteful number, since it uses less digits than its factorization.

13608480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28369 (or 28361 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 13608480 is about 3688.9673351766. The cubic root of 13608480 is about 238.7462395358.

The spelling of 13608480 in words is "thirteen million, six hundred eight thousand, four hundred eighty".