12364920 has 96 divisors (see below), whose sum is σ = 41605200. Its totient is φ = 3266496.

The previous prime is 12364909. The next prime is 12364921. The reversal of 12364920 is 2946321.

12364920 is a `hidden beast` number, since 12 + 3 + 649 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12364921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115507 + ... + 115613.

Almost surely, 2^12364920 is an apocalyptic number.

12364920 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 12364920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20802600).

12364920 is an abundant number, since it is smaller than the sum of its proper divisors (29240280).

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

12364920 is a wasteful number, since it uses less digits than its factorization.

12364920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 12364920 is about 3516.3788191832. The cubic root of 12364920 is about 231.2404310625.

The spelling of 12364920 in words is "twelve million, three hundred sixty-four thousand, nine hundred twenty".