12580496 has 20 divisors (see below), whose sum is σ = 24431100. Its totient is φ = 6275712.

The previous prime is 12580487. The next prime is 12580499. The reversal of 12580496 is 69408521.

It can be written as a sum of positive squares in 2 ways, for example, as 774400 + 11806096 = 880^2 + 3436^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12580499) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10790 + ... + 11898.

It is an arithmetic number, because the mean of its divisors is an integer number (1221555).

Almost surely, 2^12580496 is an apocalyptic number.

12580496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12580496 is a deficient number, since it is larger than the sum of its proper divisors (11850604).

12580496 is a wasteful number, since it uses less digits than its factorization.

12580496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 12580496 is about 3546.8994911049. The cubic root of 12580496 is about 232.5765485793.

The spelling of 12580496 in words is "twelve million, five hundred eighty thousand, four hundred ninety-six".