12996160 has 56 divisors (see below), whose sum is σ = 32781240. Its totient is φ = 4890624.

The previous prime is 12996149. The next prime is 12996163. The reversal of 12996160 is 6169921.

It can be written as a sum of positive squares in 4 ways, for example, as 1327104 + 11669056 = 1152^2 + 3416^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (12996163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4246 + ... + 6634.

Almost surely, 2^12996160 is an apocalyptic number.

12996160 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 12996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16390620).

12996160 is an abundant number, since it is smaller than the sum of its proper divisors (19785080).

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

12996160 is a wasteful number, since it uses less digits than its factorization.

12996160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 34.

The square root of 12996160 is about 3605.0187239458. The cubic root of 12996160 is about 235.1103148891.

The spelling of 12996160 in words is "twelve million, nine hundred ninety-six thousand, one hundred sixty".