12368080 has 40 divisors (see below), whose sum is σ = 29308392. Its totient is φ = 4852224.

The previous prime is 12368071. The next prime is 12368087. The reversal of 12368080 is 8086321.

12368080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6492304 + 5875776 = 2548^2 + 2424^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12368087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2782 + ... + 5698.

Almost surely, 2^12368080 is an apocalyptic number.

12368080 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 12368080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14654196).

12368080 is an abundant number, since it is smaller than the sum of its proper divisors (16940312).

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

12368080 is a wasteful number, since it uses less digits than its factorization.

12368080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2983 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 12368080 is about 3516.8281163571. The cubic root of 12368080 is about 231.2601281174.

It can be divided in two parts, 1236 and 8080, that added together give a triangular number (9316 = T₁₃₆).

The spelling of 12368080 in words is "twelve million, three hundred sixty-eight thousand, eighty".