12603264 has 64 divisors (see below), whose sum is σ = 34957440. Its totient is φ = 4015616.

The previous prime is 12603259. The next prime is 12603299. The reversal of 12603264 is 46230621.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8119 + ... + 9545.

It is an arithmetic number, because the mean of its divisors is an integer number (546210).

Almost surely, 2^12603264 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 12603264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17478720).

12603264 is an abundant number, since it is smaller than the sum of its proper divisors (22354176).

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

12603264 is a wasteful number, since it uses less digits than its factorization.

12603264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 12603264 is about 3550.1076040030. The cubic root of 12603264 is about 232.7167685837.

Adding to 12603264 its reverse (46230621), we get a palindrome (58833885).

The spelling of 12603264 in words is "twelve million, six hundred three thousand, two hundred sixty-four".