12580974 has 64 divisors (see below), whose sum is σ = 32417280. Its totient is φ = 3542400.

The previous prime is 12580963. The next prime is 12580993. The reversal of 12580974 is 47908521.

12580974 is a `hidden beast` number, since 1 + 2 + 580 + 9 + 74 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31174 + ... + 31574.

It is an arithmetic number, because the mean of its divisors is an integer number (506520).

Almost surely, 2^12580974 is an apocalyptic number.

12580974 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12580974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16208640).

12580974 is an abundant number, since it is smaller than the sum of its proper divisors (19836306).

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

12580974 is a wasteful number, since it uses less digits than its factorization.

12580974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 12580974 is about 3546.9668732595. The cubic root of 12580974 is about 232.5794941490.

The spelling of 12580974 in words is "twelve million, five hundred eighty thousand, nine hundred seventy-four".