12628620 has 72 divisors (see below), whose sum is σ = 40569984. Its totient is φ = 3168768.

The previous prime is 12628613. The next prime is 12628657. The reversal of 12628620 is 2682621.

12628620 is a `hidden beast` number, since 12 + 6 + 28 + 620 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 997 + ... + 5123.

It is an arithmetic number, because the mean of its divisors is an integer number (563472).

Almost surely, 2^12628620 is an apocalyptic number.

12628620 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 12628620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20284992).

12628620 is an abundant number, since it is smaller than the sum of its proper divisors (27941364).

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

12628620 is a wasteful number, since it uses less digits than its factorization.

12628620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4159 (or 4154 counting only the distinct ones).

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

The square root of 12628620 is about 3553.6769689999. The cubic root of 12628620 is about 232.8727285432.

The spelling of 12628620 in words is "twelve million, six hundred twenty-eight thousand, six hundred twenty".