12989160 has 160 divisors (see below), whose sum is σ = 46173600. Its totient is φ = 3265920.

The previous prime is 12989159. The next prime is 12989161. The reversal of 12989160 is 6198921.

It is an interprime number because it is at equal distance from previous prime (12989159) and next prime (12989161).

It is a super-3 number, since 3×12989160³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12989161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 61455 + ... + 61665.

It is an arithmetic number, because the mean of its divisors is an integer number (288585).

Almost surely, 2^12989160 is an apocalyptic number.

12989160 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 12989160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23086800).

12989160 is an abundant number, since it is smaller than the sum of its proper divisors (33184440).

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

12989160 is a wasteful number, since it uses less digits than its factorization.

12989160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 12989160 is about 3604.0477244343. The cubic root of 12989160 is about 235.0680955521.

The spelling of 12989160 in words is "twelve million, nine hundred eighty-nine thousand, one hundred sixty".