12739584 has 176 divisors, whose sum is σ = 41267520. Its totient is φ = 3440640.

The previous prime is 12739577. The next prime is 12739589. The reversal of 12739584 is 48593721.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (12739589) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 439282 + ... + 439310.

Almost surely, 2^12739584 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 12739584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20633760).

12739584 is an abundant number, since it is smaller than the sum of its proper divisors (28527936).

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

12739584 is a wasteful number, since it uses less digits than its factorization.

12739584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 58 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 12739584 is about 3569.2553845305. The cubic root of 12739584 is about 233.5528021240.

The spelling of 12739584 in words is "twelve million, seven hundred thirty-nine thousand, five hundred eighty-four".