12617728 has 48 divisors (see below), whose sum is σ = 25896780. Its totient is φ = 6144000.

The previous prime is 12617719. The next prime is 12617747. The reversal of 12617728 is 82771621.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12616704 + 1024 = 3552^2 + 32^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12617693 and 12617702.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 124878 + ... + 124978.

Almost surely, 2^12617728 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 12617728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12948390).

12617728 is an abundant number, since it is smaller than the sum of its proper divisors (13279052).

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

12617728 is an equidigital number, since it uses as much as digits as its factorization.

12617728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 164 counting only the distinct ones).

The product of its digits is 9408, while the sum is 34.

The square root of 12617728 is about 3552.1441412195. The cubic root of 12617728 is about 232.8057595124.

The spelling of 12617728 in words is "twelve million, six hundred seventeen thousand, seven hundred twenty-eight".