12819744 has 72 divisors (see below), whose sum is σ = 41670720. Its totient is φ = 3662208.

The previous prime is 12819743. The next prime is 12819773. The reversal of 12819744 is 44791821.

It is a tau number, because it is divible by the number of its divisors (72).

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 junction number, because it is equal to n+sod(n) for n = 12819699 and 12819708.

It is not an unprimeable number, because it can be changed into a prime (12819743) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1164 + ... + 5195.

It is an arithmetic number, because the mean of its divisors is an integer number (578760).

Almost surely, 2^12819744 is an apocalyptic number.

12819744 is a gapful number since it is divisible by the number (14) 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 12819744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20835360).

12819744 is an abundant number, since it is smaller than the sum of its proper divisors (28850976).

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

12819744 is a wasteful number, since it uses less digits than its factorization.

12819744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6382 (or 6371 counting only the distinct ones).

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

The square root of 12819744 is about 3580.4670086457. The cubic root of 12819744 is about 234.0416318651.

It can be divided in two parts, 1281 and 9744, that added together give a square (11025 = 105²).

The spelling of 12819744 in words is "twelve million, eight hundred nineteen thousand, seven hundred forty-four".