13556480 has 144 divisors (see below), whose sum is σ = 39735360. Its totient is φ = 4325376.

The previous prime is 13556471. The next prime is 13556503. The reversal of 13556480 is 8465531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 152276 + ... + 152364.

It is an arithmetic number, because the mean of its divisors is an integer number (275940).

Almost surely, 2^13556480 is an apocalyptic number.

13556480 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 13556480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19867680).

13556480 is an abundant number, since it is smaller than the sum of its proper divisors (26178880).

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

13556480 is an equidigital number, since it uses as much as digits as its factorization.

13556480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 13556480 is about 3681.9125464899. The cubic root of 13556480 is about 238.4417565703.

The spelling of 13556480 in words is "thirteen million, five hundred fifty-six thousand, four hundred eighty".