12918816 has 72 divisors (see below), whose sum is σ = 37949184. Its totient is φ = 4164480.

The previous prime is 12918811. The next prime is 12918839. The reversal of 12918816 is 61881921.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12918811) 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, 8205 + ... + 9651.

It is an arithmetic number, because the mean of its divisors is an integer number (527072).

Almost surely, 2^12918816 is an apocalyptic number.

12918816 is a gapful number since it is divisible by the number (16) 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 12918816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18974592).

12918816 is an abundant number, since it is smaller than the sum of its proper divisors (25030368).

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

12918816 is a wasteful number, since it uses less digits than its factorization.

12918816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1483 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The square root of 12918816 is about 3594.2754485431. The cubic root of 12918816 is about 234.6429828600.

The spelling of 12918816 in words is "twelve million, nine hundred eighteen thousand, eight hundred sixteen".