12677872 has 40 divisors (see below), whose sum is σ = 25779600. Its totient is φ = 6031872.

The previous prime is 12677867. The next prime is 12677887. The reversal of 12677872 is 27877621.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 41143 + ... + 41449.

It is an arithmetic number, because the mean of its divisors is an integer number (644490).

Almost surely, 2^12677872 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 12677872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12889800).

12677872 is an abundant number, since it is smaller than the sum of its proper divisors (13101728).

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

12677872 is a wasteful number, since it uses less digits than its factorization.

12677872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 427 counting only the distinct ones).

The product of its digits is 65856, while the sum is 40.

The square root of 12677872 is about 3560.5999494467. The cubic root of 12677872 is about 233.1750727278.

The spelling of 12677872 in words is "twelve million, six hundred seventy-seven thousand, eight hundred seventy-two".