12590720 has 64 divisors (see below), whose sum is σ = 30551040. Its totient is φ = 4961280.

The previous prime is 12590719. The next prime is 12590723. The reversal of 12590720 is 2709521.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 12590720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12590723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65825 + ... + 66015.

It is an arithmetic number, because the mean of its divisors is an integer number (477360).

Almost surely, 2^12590720 is an apocalyptic number.

12590720 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 12590720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15275520).

12590720 is an abundant number, since it is smaller than the sum of its proper divisors (17960320).

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

12590720 is a wasteful number, since it uses less digits than its factorization.

12590720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 12590720 is about 3548.3404571715. The cubic root of 12590720 is about 232.6395354645.

The spelling of 12590720 in words is "twelve million, five hundred ninety thousand, seven hundred twenty".