12727680 has 128 divisors (see below), whose sum is σ = 46414080. Its totient is φ = 2906112.

The previous prime is 12727651. The next prime is 12727697. The reversal of 12727680 is 8672721.

12727680 = T₃₈₅ + T₃₈₆ + ... + T₅₁₀.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12967 + ... + 13913.

It is an arithmetic number, because the mean of its divisors is an integer number (362610).

Almost surely, 2^12727680 is an apocalyptic number.

12727680 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 12727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23207040).

12727680 is an abundant number, since it is smaller than the sum of its proper divisors (33686400).

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

12727680 is an equidigital number, since it uses as much as digits as its factorization.

12727680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 12727680 is about 3567.5874200922. The cubic root of 12727680 is about 233.4800347307.

The spelling of 12727680 in words is "twelve million, seven hundred twenty-seven thousand, six hundred eighty".