12816840 has 96 divisors (see below), whose sum is σ = 40135680. Its totient is φ = 3273984.

The previous prime is 12816821. The next prime is 12816841. The reversal of 12816840 is 4861821.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12816798 and 12816807.

It is not an unprimeable number, because it can be changed into a prime (12816841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100857 + ... + 100983.

It is an arithmetic number, because the mean of its divisors is an integer number (418080).

Almost surely, 2^12816840 is an apocalyptic number.

12816840 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 12816840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20067840).

12816840 is an abundant number, since it is smaller than the sum of its proper divisors (27318840).

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

12816840 is a wasteful number, since it uses less digits than its factorization.

12816840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 12816840 is about 3580.0614519865. The cubic root of 12816840 is about 234.0239583914.

The spelling of 12816840 in words is "twelve million, eight hundred sixteen thousand, eight hundred forty".