12593880 has 240 divisors, whose sum is σ = 47828880. Its totient is φ = 2965248.

The previous prime is 12593873. The next prime is 12593891. The reversal of 12593880 is 8839521.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 547549 + ... + 547571.

It is an arithmetic number, because the mean of its divisors is an integer number (199287).

Almost surely, 2^12593880 is an apocalyptic number.

12593880 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 12593880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23914440).

12593880 is an abundant number, since it is smaller than the sum of its proper divisors (35235000).

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

12593880 is a wasteful number, since it uses less digits than its factorization.

12593880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 12593880 is about 3548.7857078161. The cubic root of 12593880 is about 232.6589963436.

The spelling of 12593880 in words is "twelve million, five hundred ninety-three thousand, eight hundred eighty".