12677264 has 40 divisors (see below), whose sum is σ = 25831680. Its totient is φ = 6019200.

The previous prime is 12677261. The next prime is 12677299. The reversal of 12677264 is 46277621.

It is not an unprimeable number, because it can be changed into a prime (12677261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30047 + ... + 30465.

It is an arithmetic number, because the mean of its divisors is an integer number (645792).

Almost surely, 2^12677264 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 12677264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12915840).

12677264 is an abundant number, since it is smaller than the sum of its proper divisors (13154416).

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

12677264 is a wasteful number, since it uses less digits than its factorization.

12677264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 513 counting only the distinct ones).

The product of its digits is 28224, while the sum is 35.

The square root of 12677264 is about 3560.5145695531. The cubic root of 12677264 is about 233.1713451645.

The spelling of 12677264 in words is "twelve million, six hundred seventy-seven thousand, two hundred sixty-four".