12507264 has 256 divisors, whose sum is σ = 47001600. Its totient is φ = 3179520.

The previous prime is 12507251. The next prime is 12507269. The reversal of 12507264 is 46270521.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12507269) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 266089 + ... + 266135.

It is an arithmetic number, because the mean of its divisors is an integer number (183600).

Almost surely, 2^12507264 is an apocalyptic number.

12507264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12507264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23500800).

12507264 is an abundant number, since it is smaller than the sum of its proper divisors (34494336).

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

12507264 is a wasteful number, since it uses less digits than its factorization.

12507264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 12507264 is about 3536.5610414639. The cubic root of 12507264 is about 232.1243883104.

Adding to 12507264 its reverse (46270521), we get a palindrome (58777785).

The spelling of 12507264 in words is "twelve million, five hundred seven thousand, two hundred sixty-four".