12704580 has 96 divisors (see below), whose sum is σ = 45185280. Its totient is φ = 2903040.

The previous prime is 12704567. The next prime is 12704591. The reversal of 12704580 is 8540721.

12704580 is a `hidden beast` number, since 12 + 70 + 4 + 580 = 666.

It is a super-2 number, since 2×12704580² = 322812705952800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2100 + ... + 5460.

It is an arithmetic number, because the mean of its divisors is an integer number (470680).

Almost surely, 2^12704580 is an apocalyptic number.

12704580 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 12704580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22592640).

12704580 is an abundant number, since it is smaller than the sum of its proper divisors (32480700).

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

12704580 is a wasteful number, since it uses less digits than its factorization.

12704580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3386 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 12704580 is about 3564.3484678129. The cubic root of 12704580 is about 233.3386982893.

The spelling of 12704580 in words is "twelve million, seven hundred four thousand, five hundred eighty".