12465936 has 120 divisors (see below), whose sum is σ = 40622400. Its totient is φ = 3495168.

The previous prime is 12465907. The next prime is 12465983. The reversal of 12465936 is 63956421.

It is a happy number.

12465936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12465936.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83590 + ... + 83738.

It is an arithmetic number, because the mean of its divisors is an integer number (338520).

Almost surely, 2^12465936 is an apocalyptic number.

12465936 is a gapful number since it is divisible by the number (16) 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 12465936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20311200).

12465936 is an abundant number, since it is smaller than the sum of its proper divisors (28156464).

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

12465936 is a wasteful number, since it uses less digits than its factorization.

12465936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 244 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 12465936 is about 3530.7132423917. The cubic root of 12465936 is about 231.8684351156.

The spelling of 12465936 in words is "twelve million, four hundred sixty-five thousand, nine hundred thirty-six".