13218880 has 56 divisors (see below), whose sum is σ = 31866840. Its totient is φ = 5222400.

The previous prime is 13218871. The next prime is 13218893. The reversal of 13218880 is 8881231.

It can be written as a sum of positive squares in 4 ways, for example, as 7573504 + 5645376 = 2752^2 + 2376^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32116 + ... + 32524.

Almost surely, 2^13218880 is an apocalyptic number.

13218880 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 13218880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15933420).

13218880 is an abundant number, since it is smaller than the sum of its proper divisors (18647960).

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

13218880 is a wasteful number, since it uses less digits than its factorization.

13218880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The square root of 13218880 is about 3635.7777709866. Note that the first 5 decimals coincide. The cubic root of 13218880 is about 236.4457724228.

It can be divided in two parts, 1321 and 8880, that added together give a palindrome (10201).

The spelling of 13218880 in words is "thirteen million, two hundred eighteen thousand, eight hundred eighty".