12710880 has 288 divisors, whose sum is σ = 53936064. Its totient is φ = 2654208.

The previous prime is 12710879. The next prime is 12710897. The reversal of 12710880 is 8801721.

12710880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130992 + ... + 131088.

It is an arithmetic number, because the mean of its divisors is an integer number (187278).

Almost surely, 2^12710880 is an apocalyptic number.

12710880 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 12710880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26968032).

12710880 is an abundant number, since it is smaller than the sum of its proper divisors (41225184).

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

12710880 is a wasteful number, since it uses less digits than its factorization.

12710880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 12710880 is about 3565.2321102559. The cubic root of 12710880 is about 233.3772615707.

The spelling of 12710880 in words is "twelve million, seven hundred ten thousand, eight hundred eighty".