12008580 has 48 divisors (see below), whose sum is σ = 33796224. Its totient is φ = 3185920.

The previous prime is 12008569. The next prime is 12008621. The reversal of 12008580 is 8580021.

12008580 = T₁₆₁ + T₁₆₂ + ... + T₄₂₃.

12008580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12008580.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15400 + ... + 16160.

It is an arithmetic number, because the mean of its divisors is an integer number (704088).

Almost surely, 2^12008580 is an apocalyptic number.

12008580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12008580 is an abundant number, since it is smaller than the sum of its proper divisors (21787644).

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

12008580 is a wasteful number, since it uses less digits than its factorization.

12008580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 12008580 is about 3465.3398101774. The cubic root of 12008580 is about 228.9974002235.

The spelling of 12008580 in words is "twelve million, eight thousand, five hundred eighty".