12917160 has 96 divisors (see below), whose sum is σ = 42836040. Its totient is φ = 3374592.

The previous prime is 12917141. The next prime is 12917167. The reversal of 12917160 is 6171921.

It can be written as a sum of positive squares in 4 ways, for example, as 12916836 + 324 = 3594^2 + 18^2 .

It is not an unprimeable number, because it can be changed into a prime (12917167) 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, 18742 + ... + 19418.

Almost surely, 2^12917160 is an apocalyptic number.

12917160 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 12917160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21418020).

12917160 is an abundant number, since it is smaller than the sum of its proper divisors (29918880).

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

12917160 is a wasteful number, since it uses less digits than its factorization.

12917160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 12917160 is about 3594.0450748426. The cubic root of 12917160 is about 234.6329565185.

The spelling of 12917160 in words is "twelve million, nine hundred seventeen thousand, one hundred sixty".