13580056 has 48 divisors (see below), whose sum is σ = 30000240. Its totient is φ = 5762400.

The previous prime is 13580053. The next prime is 13580057. The reversal of 13580056 is 65008531.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13580053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134406 + ... + 134506.

It is an arithmetic number, because the mean of its divisors is an integer number (625005).

Almost surely, 2^13580056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13580056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15000120).

13580056 is an abundant number, since it is smaller than the sum of its proper divisors (16420184).

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

13580056 is an frugal number, since it uses more digits than its factorization.

13580056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 13580056 is about 3685.1127526848. The cubic root of 13580056 is about 238.5799007695.

Adding to 13580056 its reverse (65008531), we get a palindrome (78588587).

The spelling of 13580056 in words is "thirteen million, five hundred eighty thousand, fifty-six".