12788688 has 80 divisors (see below), whose sum is σ = 36801216. Its totient is φ = 3793920.

The previous prime is 12788683. The next prime is 12788689. The reversal of 12788688 is 88688721.

It is a super-2 number, since 2×12788688² = 327101081522688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12788683) 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, 27756 + ... + 28212.

Almost surely, 2^12788688 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 12788688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18400608).

12788688 is an abundant number, since it is smaller than the sum of its proper divisors (24012528).

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

12788688 is a wasteful number, since it uses less digits than its factorization.

12788688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 526 counting only the distinct ones).

The product of its digits is 344064, while the sum is 48.

The square root of 12788688 is about 3576.1275145050. The cubic root of 12788688 is about 233.8524893961.

The spelling of 12788688 in words is "twelve million, seven hundred eighty-eight thousand, six hundred eighty-eight".