12726840 has 128 divisors (see below), whose sum is σ = 44352000. Its totient is φ = 2861568.

The previous prime is 12726817. The next prime is 12726841. The reversal of 12726840 is 4862721.

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 = 12726798 and 12726807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12726841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91491 + ... + 91629.

It is an arithmetic number, because the mean of its divisors is an integer number (346500).

Almost surely, 2^12726840 is an apocalyptic number.

12726840 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 12726840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22176000).

12726840 is an abundant number, since it is smaller than the sum of its proper divisors (31625160).

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

12726840 is a wasteful number, since it uses less digits than its factorization.

12726840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 12726840 is about 3567.4696915321. The cubic root of 12726840 is about 233.4748982213.

The spelling of 12726840 in words is "twelve million, seven hundred twenty-six thousand, eight hundred forty".