12485760 has 128 divisors (see below), whose sum is σ = 45532800. Its totient is φ = 2850816.

The previous prime is 12485731. The next prime is 12485779. The reversal of 12485760 is 6758421.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12976 + ... + 13904.

It is an arithmetic number, because the mean of its divisors is an integer number (355725).

Almost surely, 2^12485760 is an apocalyptic number.

12485760 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 12485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22766400).

12485760 is an abundant number, since it is smaller than the sum of its proper divisors (33047040).

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

12485760 is an equidigital number, since it uses as much as digits as its factorization.

12485760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 12485760 is about 3533.5194919513. The cubic root of 12485760 is about 231.9912798942.

12485760 divided by its product of nonzero digits (13440) gives a palindrome (929).

The spelling of 12485760 in words is "twelve million, four hundred eighty-five thousand, seven hundred sixty".