12364020 has 72 divisors (see below), whose sum is σ = 37837800. Its totient is φ = 3267840.

The previous prime is 12364019. The next prime is 12364021. The reversal of 12364020 is 2046321.

It is a happy number.

12364020 is a `hidden beast` number, since 1 + 2 + 3 + 640 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (12364019) and next prime (12364021).

It can be written as a sum of positive squares in 4 ways, for example, as 1764 + 12362256 = 42^2 + 3516^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12363984 and 12364002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12364021) 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, 26590 + ... + 27050.

It is an arithmetic number, because the mean of its divisors is an integer number (525525).

Almost surely, 2^12364020 is an apocalyptic number.

12364020 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 12364020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18918900).

12364020 is an abundant number, since it is smaller than the sum of its proper divisors (25473780).

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

12364020 is a wasteful number, since it uses less digits than its factorization.

12364020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 12364020 is about 3516.2508442942. The cubic root of 12364020 is about 231.2348205279.

The spelling of 12364020 in words is "twelve million, three hundred sixty-four thousand, twenty".