12704160 has 192 divisors, whose sum is σ = 48384000. Its totient is φ = 2737152.

The previous prime is 12704129. The next prime is 12704161. The reversal of 12704160 is 6140721.

It is a super-2 number, since 2×12704160² = 322791362611200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (12704161) 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, 63741 + ... + 63939.

It is an arithmetic number, because the mean of its divisors is an integer number (252000).

Almost surely, 2^12704160 is an apocalyptic number.

12704160 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 12704160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24192000).

12704160 is an abundant number, since it is smaller than the sum of its proper divisors (35679840).

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

12704160 is a wasteful number, since it uses less digits than its factorization.

12704160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 12704160 is about 3564.2895505276. The cubic root of 12704160 is about 233.3361269507.

Adding to 12704160 its reverse (6140721), we get a palindrome (18844881).

The spelling of 12704160 in words is "twelve million, seven hundred four thousand, one hundred sixty".