12606720 has 216 divisors, whose sum is σ = 47535264. Its totient is φ = 2838528.

The previous prime is 12606703. The next prime is 12606731. The reversal of 12606720 is 2760621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188127 + ... + 188193.

Almost surely, 2^12606720 is an apocalyptic number.

12606720 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 12606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23767632).

12606720 is an abundant number, since it is smaller than the sum of its proper divisors (34928544).

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

12606720 is an equidigital number, since it uses as much as digits as its factorization.

12606720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 12606720 is about 3550.5943164490. The cubic root of 12606720 is about 232.7380380910.

The spelling of 12606720 in words is "twelve million, six hundred six thousand, seven hundred twenty".