12706848 has 192 divisors, whose sum is σ = 46448640. Its totient is φ = 3283200.

The previous prime is 12706847. The next prime is 12706937. The reversal of 12706848 is 84860721.

It is a super-2 number, since 2×12706848² = 322927972190208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12706847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66433 + ... + 66623.

It is an arithmetic number, because the mean of its divisors is an integer number (241920).

Almost surely, 2^12706848 is an apocalyptic number.

12706848 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 12706848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23224320).

12706848 is an abundant number, since it is smaller than the sum of its proper divisors (33741792).

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

12706848 is a wasteful number, since it uses less digits than its factorization.

12706848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 12706848 is about 3564.6666043264. Note that the first 4 decimals coincide. The cubic root of 12706848 is about 233.3525825389.

It can be divided in two parts, 1270 and 6848, that added together give a palindrome (8118).

The spelling of 12706848 in words is "twelve million, seven hundred six thousand, eight hundred forty-eight".