12963264 has 56 divisors (see below), whose sum is σ = 34674048. Its totient is φ = 4273920.

The previous prime is 12963233. The next prime is 12963277. The reversal of 12963264 is 46236921.

It is a super-6 number, since 6×12963264⁶ (a number of 44 digits) contains 666666 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its 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, 20229 + ... + 20859.

Almost surely, 2^12963264 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 12963264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17337024).

12963264 is an abundant number, since it is smaller than the sum of its proper divisors (21710784).

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

12963264 is a wasteful number, since it uses less digits than its factorization.

12963264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 743 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 12963264 is about 3600.4533047937. The cubic root of 12963264 is about 234.9117761482.

It can be divided in two parts, 1296 and 3264, that added together give a triangular number (4560 = T₉₅).

The spelling of 12963264 in words is "twelve million, nine hundred sixty-three thousand, two hundred sixty-four".