12819960 has 96 divisors (see below), whose sum is σ = 42120000. Its totient is φ = 3381504.

The previous prime is 12819959. The next prime is 12819967. The reversal of 12819960 is 6991821.

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 (12819967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53521 + ... + 53759.

It is an arithmetic number, because the mean of its divisors is an integer number (438750).

Almost surely, 2^12819960 is an apocalyptic number.

12819960 is a gapful number since it is divisible by the number (10) 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 12819960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21060000).

12819960 is an abundant number, since it is smaller than the sum of its proper divisors (29300040).

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

12819960 is a wasteful number, since it uses less digits than its factorization.

12819960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 12819960 is about 3580.4971721815. The cubic root of 12819960 is about 234.0429463143.

The spelling of 12819960 in words is "twelve million, eight hundred nineteen thousand, nine hundred sixty".