12588792 has 48 divisors (see below), whose sum is σ = 33238440. Its totient is φ = 3972672.

The previous prime is 12588791. The next prime is 12588799. The reversal of 12588792 is 29788521.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12588791) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7938 + ... + 9390.

Almost surely, 2^12588792 is an apocalyptic number.

12588792 is a gapful number since it is divisible by the number (12) 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 12588792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16619220).

12588792 is an abundant number, since it is smaller than the sum of its proper divisors (20649648).

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

12588792 is a wasteful number, since it uses less digits than its factorization.

12588792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 1477 counting only the distinct ones).

The product of its digits is 80640, while the sum is 42.

The square root of 12588792 is about 3548.0687704722. The cubic root of 12588792 is about 232.6276602654.

The spelling of 12588792 in words is "twelve million, five hundred eighty-eight thousand, seven hundred ninety-two".