12368448 has 84 divisors (see below), whose sum is σ = 35958780. Its totient is φ = 4064256.

The previous prime is 12368443. The next prime is 12368453. The reversal of 12368448 is 84486321.

It is an interprime number because it is at equal distance from previous prime (12368443) and next prime (12368453).

It can be written as a sum of positive squares in 2 ways, for example, as 10810944 + 1557504 = 3288^2 + 1248^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12368441) 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 11 ways as a sum of consecutive naturals, for example, 62686 + ... + 62882.

Almost surely, 2^12368448 is an apocalyptic number.

12368448 is a gapful number since it is divisible by the number (18) 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 12368448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17979390).

12368448 is an abundant number, since it is smaller than the sum of its proper divisors (23590332).

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

12368448 is a wasteful number, since it uses less digits than its factorization.

12368448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 311 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 12368448 is about 3516.8804358408. The cubic root of 12368448 is about 231.2624217335.

The spelling of 12368448 in words is "twelve million, three hundred sixty-eight thousand, four hundred forty-eight".