12886940 has 48 divisors (see below), whose sum is σ = 31086720. Its totient is φ = 4438080.

The previous prime is 12886931. The next prime is 12886949. The reversal of 12886940 is 4968821.

It is an interprime number because it is at equal distance from previous prime (12886931) and next prime (12886949).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 12886894 and 12886903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12886949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2639 + ... + 5721.

It is an arithmetic number, because the mean of its divisors is an integer number (647640).

Almost surely, 2^12886940 is an apocalyptic number.

12886940 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 12886940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15543360).

12886940 is an abundant number, since it is smaller than the sum of its proper divisors (18199780).

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

12886940 is a wasteful number, since it uses less digits than its factorization.

12886940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3122 (or 3120 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 12886940 is about 3589.8384364759. The cubic root of 12886940 is about 234.4498371978.

It can be divided in two parts, 1288 and 6940, that added together give a palindrome (8228).

The spelling of 12886940 in words is "twelve million, eight hundred eighty-six thousand, nine hundred forty".