12677742 has 64 divisors (see below), whose sum is σ = 35136000. Its totient is φ = 3291840.

The previous prime is 12677741. The next prime is 12677771. The reversal of 12677742 is 24777621.

It is a happy number.

12677742 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12677697 and 12677706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12677741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2634 + ... + 5682.

It is an arithmetic number, because the mean of its divisors is an integer number (549000).

Almost surely, 2^12677742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12677742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17568000).

12677742 is an abundant number, since it is smaller than the sum of its proper divisors (22458258).

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

12677742 is a wasteful number, since it uses less digits than its factorization.

12677742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3078 (or 3072 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 12677742 is about 3560.5816940494. The cubic root of 12677742 is about 233.1742757260.

It can be divided in two parts, 1267 and 7742, that added together give a palindrome (9009).

The spelling of 12677742 in words is "twelve million, six hundred seventy-seven thousand, seven hundred forty-two".