12706820 has 96 divisors (see below), whose sum is σ = 34110720. Its totient is φ = 3870720.

The previous prime is 12706819. The next prime is 12706829. The reversal of 12706820 is 2860721.

It is a super-2 number, since 2×12706820² = 322926549024800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12706820.

It is not an unprimeable number, because it can be changed into a prime (12706829) 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, 45080 + ... + 45360.

It is an arithmetic number, because the mean of its divisors is an integer number (355320).

Almost surely, 2^12706820 is an apocalyptic number.

12706820 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 12706820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17055360).

12706820 is an abundant number, since it is smaller than the sum of its proper divisors (21403900).

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

12706820 is a wasteful number, since it uses less digits than its factorization.

12706820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 12706820 is about 3564.6626768882. The cubic root of 12706820 is about 233.3524111385.

The spelling of 12706820 in words is "twelve million, seven hundred six thousand, eight hundred twenty".