12786840 has 96 divisors (see below), whose sum is σ = 45349200. Its totient is φ = 3098880.

The previous prime is 12786817. The next prime is 12786847. The reversal of 12786840 is 4868721.

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

It is a junction number, because it is equal to n+sod(n) for n = 12786795 and 12786804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12786847) 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, 2346 + ... + 5574.

Almost surely, 2^12786840 is an apocalyptic number.

12786840 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 12786840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22674600).

12786840 is an abundant number, since it is smaller than the sum of its proper divisors (32562360).

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

12786840 is a wasteful number, since it uses less digits than its factorization.

12786840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3257 (or 3250 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 12786840 is about 3575.8691251219. The cubic root of 12786840 is about 233.8412247478.

It can be divided in two parts, 1278 and 6840, that added together give a palindrome (8118).

The spelling of 12786840 in words is "twelve million, seven hundred eighty-six thousand, eight hundred forty".