12537264 has 80 divisors (see below), whose sum is σ = 34819200. Its totient is φ = 3875328.

The previous prime is 12537257. The next prime is 12537271. The reversal of 12537264 is 46273521.

12537264 = 106² + 107² + ... + 338².

It is an interprime number because it is at equal distance from previous prime (12537257) and next prime (12537271).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53692 + ... + 53924.

It is an arithmetic number, because the mean of its divisors is an integer number (435240).

Almost surely, 2^12537264 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 12537264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17409600).

12537264 is an abundant number, since it is smaller than the sum of its proper divisors (22281936).

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

12537264 is a wasteful number, since it uses less digits than its factorization.

12537264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 316 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 12537264 is about 3540.7999096249. The cubic root of 12537264 is about 232.3098317803.

The spelling of 12537264 in words is "twelve million, five hundred thirty-seven thousand, two hundred sixty-four".