12830580 has 144 divisors (see below), whose sum is σ = 47174400. Its totient is φ = 2755584.

The previous prime is 12830569. The next prime is 12830591. The reversal of 12830580 is 8503821.

It is a happy number.

12830580 is a `hidden beast` number, since 1 + 2 + 83 + 0 + 580 = 666.

It is an interprime number because it is at equal distance from previous prime (12830569) and next prime (12830591).

It is a super-3 number, since 3×12830580³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 21121 + ... + 21719.

It is an arithmetic number, because the mean of its divisors is an integer number (327600).

Almost surely, 2^12830580 is an apocalyptic number.

12830580 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 12830580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23587200).

12830580 is an abundant number, since it is smaller than the sum of its proper divisors (34343820).

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

12830580 is a wasteful number, since it uses less digits than its factorization.

12830580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 12830580 is about 3581.9798994411. The cubic root of 12830580 is about 234.1075552021.

The spelling of 12830580 in words is "twelve million, eight hundred thirty thousand, five hundred eighty".