12626820 has 96 divisors (see below), whose sum is σ = 39984000. Its totient is φ = 3307392.

The previous prime is 12626797. The next prime is 12626833. The reversal of 12626820 is 2862621.

12626820 is a `hidden beast` number, since 12 + 626 + 8 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36006 + ... + 36354.

It is an arithmetic number, because the mean of its divisors is an integer number (416500).

Almost surely, 2^12626820 is an apocalyptic number.

12626820 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 12626820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19992000).

12626820 is an abundant number, since it is smaller than the sum of its proper divisors (27357180).

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

12626820 is a wasteful number, since it uses less digits than its factorization.

12626820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 12626820 is about 3553.4237011648. The cubic root of 12626820 is about 232.8616639711.

The spelling of 12626820 in words is "twelve million, six hundred twenty-six thousand, eight hundred twenty".