12593664 has 80 divisors (see below), whose sum is σ = 37319040. Its totient is φ = 4193280.

The previous prime is 12593663. The next prime is 12593681. The reversal of 12593664 is 46639521.

It is a happy number.

12593664 is a `hidden beast` number, since 1 + 2 + 593 + 6 + 64 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12593663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13369 + ... + 14279.

It is an arithmetic number, because the mean of its divisors is an integer number (466488).

Almost surely, 2^12593664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12593664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18659520).

12593664 is an abundant number, since it is smaller than the sum of its proper divisors (24725376).

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

12593664 is an frugal number, since it uses more digits than its factorization.

12593664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 916 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 12593664 is about 3548.7552747407. The cubic root of 12593664 is about 232.6576662099.

The spelling of 12593664 in words is "twelve million, five hundred ninety-three thousand, six hundred sixty-four".