12368640 has 72 divisors (see below), whose sum is σ = 39514608. Its totient is φ = 3297280.

The previous prime is 12368633. The next prime is 12368651. The reversal of 12368640 is 4686321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12368598 and 12368607.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2230 + ... + 5450.

It is an arithmetic number, because the mean of its divisors is an integer number (548814).

Almost surely, 2^12368640 is an apocalyptic number.

12368640 is a gapful number since it is divisible by the number (10) 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 12368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19757304).

12368640 is an abundant number, since it is smaller than the sum of its proper divisors (27145968).

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

12368640 is an equidigital number, since it uses as much as digits as its factorization.

12368640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3245 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 12368640 is about 3516.9077326538. The cubic root of 12368640 is about 231.2636183847.

The spelling of 12368640 in words is "twelve million, three hundred sixty-eight thousand, six hundred forty".