12938688 has 84 divisors (see below), whose sum is σ = 42397680. Its totient is φ = 3695616.

The previous prime is 12938663. The next prime is 12938689. The reversal of 12938688 is 88683921.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×12938688² = 334819294322688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12938689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2428 + ... + 5636.

Almost surely, 2^12938688 is an apocalyptic number.

12938688 is a gapful number since it is divisible by the number (18) 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 12938688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21198840).

12938688 is an abundant number, since it is smaller than the sum of its proper divisors (29458992).

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

12938688 is a wasteful number, since it uses less digits than its factorization.

12938688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3234 (or 3221 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 12938688 is about 3597.0387821095. The cubic root of 12938688 is about 234.7632321815.

The spelling of 12938688 in words is "twelve million, nine hundred thirty-eight thousand, six hundred eighty-eight".