12315264 has 64 divisors (see below), whose sum is σ = 35243040. Its totient is φ = 3787776.

The previous prime is 12315253. The next prime is 12315271. The reversal of 12315264 is 46251321.

12315264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 3759 + ... + 6225.

Almost surely, 2^12315264 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 12315264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17621520).

12315264 is an abundant number, since it is smaller than the sum of its proper divisors (22927776).

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

12315264 is a wasteful number, since it uses less digits than its factorization.

12315264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2497 (or 2485 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 12315264 is about 3509.3110434956. The cubic root of 12315264 is about 230.9304713818.

Adding to 12315264 its reverse (46251321), we get a palindrome (58566585).

The spelling of 12315264 in words is "twelve million, three hundred fifteen thousand, two hundred sixty-four".