12628616 has 128 divisors (see below), whose sum is σ = 33868800. Its totient is φ = 4250880.

The previous prime is 12628613. The next prime is 12628657. The reversal of 12628616 is 61682621.

It is not an unprimeable number, because it can be changed into a prime (12628613) 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, 152111 + ... + 152193.

It is an arithmetic number, because the mean of its divisors is an integer number (264600).

Almost surely, 2^12628616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12628616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934400).

12628616 is an abundant number, since it is smaller than the sum of its proper divisors (21240184).

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

12628616 is a wasteful number, since it uses less digits than its factorization.

12628616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 135 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 12628616 is about 3553.6764062025. The cubic root of 12628616 is about 232.8727039564.

The spelling of 12628616 in words is "twelve million, six hundred twenty-eight thousand, six hundred sixteen".