12592960 has 112 divisors (see below), whose sum is σ = 32918400. Its totient is φ = 4573184.

The previous prime is 12592949. The next prime is 12592961. The reversal of 12592960 is 6929521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12592961) 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 15 ways as a sum of consecutive naturals, for example, 213411 + ... + 213469.

Almost surely, 2^12592960 is an apocalyptic number.

12592960 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 12592960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16459200).

12592960 is an abundant number, since it is smaller than the sum of its proper divisors (20325440).

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

12592960 is a wasteful number, since it uses less digits than its factorization.

12592960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The square root of 12592960 is about 3548.6560836463. The cubic root of 12592960 is about 232.6533308540.

The spelling of 12592960 in words is "twelve million, five hundred ninety-two thousand, nine hundred sixty".