12804960 has 192 divisors, whose sum is σ = 47803392. Its totient is φ = 2820096.

The previous prime is 12804949. The next prime is 12804977. The reversal of 12804960 is 6940821.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 124269 + ... + 124371.

It is an arithmetic number, because the mean of its divisors is an integer number (248976).

Almost surely, 2^12804960 is an apocalyptic number.

12804960 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 12804960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23901696).

12804960 is an abundant number, since it is smaller than the sum of its proper divisors (34998432).

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

12804960 is a wasteful number, since it uses less digits than its factorization.

12804960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 12804960 is about 3578.4018779338. The cubic root of 12804960 is about 233.9516300051.

The spelling of 12804960 in words is "twelve million, eight hundred four thousand, nine hundred sixty".