12777264 has 50 divisors (see below), whose sum is σ = 36984860. Its totient is φ = 4258656.

The previous prime is 12777221. The next prime is 12777277. The reversal of 12777264 is 46277721.

It is a happy number.

12777264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3634 + ... + 6225.

Almost surely, 2^12777264 is an apocalyptic number.

It is an amenable number.

12777264 is an abundant number, since it is smaller than the sum of its proper divisors (24207596).

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

12777264 is an equidigital number, since it uses as much as digits as its factorization.

12777264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9879 (or 9864 counting only the distinct ones).

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

The square root of 12777264 is about 3574.5298991616. The cubic root of 12777264 is about 233.7828359984.

It can be divided in two parts, 12777 and 264, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 12777264 in words is "twelve million, seven hundred seventy-seven thousand, two hundred sixty-four".