12908160 has 192 divisors, whose sum is σ = 46781280. Its totient is φ = 3400704.

The previous prime is 12908143. The next prime is 12908167. The reversal of 12908160 is 6180921.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12908167) 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, 155479 + ... + 155561.

Almost surely, 2^12908160 is an apocalyptic number.

12908160 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 12908160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23390640).

12908160 is an abundant number, since it is smaller than the sum of its proper divisors (33873120).

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

12908160 is an frugal number, since it uses more digits than its factorization.

12908160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 12908160 is about 3592.7927855639. The cubic root of 12908160 is about 234.5784505425.

The spelling of 12908160 in words is "twelve million, nine hundred eight thousand, one hundred sixty".