12818880 has 84 divisors (see below), whose sum is σ = 44101512. Its totient is φ = 3417600.

The previous prime is 12818879. The next prime is 12818887. The reversal of 12818880 is 8881821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12818887) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 655 + ... + 5105.

It is an arithmetic number, because the mean of its divisors is an integer number (525018).

Almost surely, 2^12818880 is an apocalyptic number.

12818880 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 12818880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22050756).

12818880 is an abundant number, since it is smaller than the sum of its proper divisors (31282632).

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

12818880 is a wasteful number, since it uses less digits than its factorization.

12818880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4474 (or 4461 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The square root of 12818880 is about 3580.3463519609. The cubic root of 12818880 is about 234.0363739204.

The spelling of 12818880 in words is "twelve million, eight hundred eighteen thousand, eight hundred eighty".