12838716 has 96 divisors (see below), whose sum is σ = 37013760. Its totient is φ = 3816000.

The previous prime is 12838691. The next prime is 12838733. The reversal of 12838716 is 61783821.

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

Its product of digits (16128) is a multiple of the sum of its prime divisors (224).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119935 + ... + 120041.

It is an arithmetic number, because the mean of its divisors is an integer number (385560).

Almost surely, 2^12838716 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 12838716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18506880).

12838716 is an abundant number, since it is smaller than the sum of its proper divisors (24175044).

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

12838716 is a wasteful number, since it uses less digits than its factorization.

12838716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 224 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 12838716 is about 3583.1154042258. The cubic root of 12838716 is about 234.1570280660.

It can be divided in two parts, 1283 and 8716, that added together give a palindrome (9999).

The spelling of 12838716 in words is "twelve million, eight hundred thirty-eight thousand, seven hundred sixteen".