12677560 has 64 divisors (see below), whose sum is σ = 34329600. Its totient is φ = 4116096.

The previous prime is 12677557. The next prime is 12677627. The reversal of 12677560 is 6577621.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4129 + ... + 6511.

It is an arithmetic number, because the mean of its divisors is an integer number (536400).

Almost surely, 2^12677560 is an apocalyptic number.

12677560 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 12677560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17164800).

12677560 is an abundant number, since it is smaller than the sum of its proper divisors (21652040).

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

12677560 is a wasteful number, since it uses less digits than its factorization.

12677560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 12677560 is about 3560.5561363360. The cubic root of 12677560 is about 233.1731599142.

The spelling of 12677560 in words is "twelve million, six hundred seventy-seven thousand, five hundred sixty".