12859680 has 96 divisors (see below), whose sum is σ = 41174784. Its totient is φ = 3373056.

The previous prime is 12859661. The next prime is 12859687. The reversal of 12859680 is 8695821.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12859687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34857 + ... + 35223.

It is an arithmetic number, because the mean of its divisors is an integer number (428904).

Almost surely, 2^12859680 is an apocalyptic number.

12859680 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 12859680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20587392).

12859680 is an abundant number, since it is smaller than the sum of its proper divisors (28315104).

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

12859680 is a wasteful number, since it uses less digits than its factorization.

12859680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 12859680 is about 3586.0395982197. The cubic root of 12859680 is about 234.2844083664.

The spelling of 12859680 in words is "twelve million, eight hundred fifty-nine thousand, six hundred eighty".