12820360 has 96 divisors (see below), whose sum is σ = 34801920. Its totient is φ = 4233600.

The previous prime is 12820351. The next prime is 12820369. The reversal of 12820360 is 6302821.

12820360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12820351) and next prime (12820369).

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12820369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60655 + ... + 60865.

It is an arithmetic number, because the mean of its divisors is an integer number (362520).

Almost surely, 2^12820360 is an apocalyptic number.

12820360 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 12820360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17400960).

12820360 is an abundant number, since it is smaller than the sum of its proper divisors (21981560).

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

12820360 is a wasteful number, since it uses less digits than its factorization.

12820360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 12820360 is about 3580.5530299103. The cubic root of 12820360 is about 234.0453804406.

The spelling of 12820360 in words is "twelve million, eight hundred twenty thousand, three hundred sixty".