12434688 has 144 divisors (see below), whose sum is σ = 42188160. Its totient is φ = 3538944.

The previous prime is 12434687. The next prime is 12434711. The reversal of 12434688 is 88643421.

12434688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

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 (12434687) 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, 48256 + ... + 48512.

Almost surely, 2^12434688 is an apocalyptic number.

12434688 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 12434688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21094080).

12434688 is an abundant number, since it is smaller than the sum of its proper divisors (29753472).

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

12434688 is an equidigital number, since it uses as much as digits as its factorization.

12434688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 269 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 12434688 is about 3526.2852975901. The cubic root of 12434688 is about 231.6745337172.

The spelling of 12434688 in words is "twelve million, four hundred thirty-four thousand, six hundred eighty-eight".