12536480 has 96 divisors (see below), whose sum is σ = 34292160. Its totient is φ = 4280320.

The previous prime is 12536477. The next prime is 12536501. The reversal of 12536480 is 8463521.

12536480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 29711 + ... + 30129.

It is an arithmetic number, because the mean of its divisors is an integer number (357210).

Almost surely, 2^12536480 is an apocalyptic number.

12536480 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 12536480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17146080).

12536480 is an abundant number, since it is smaller than the sum of its proper divisors (21755680).

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

12536480 is a wasteful number, since it uses less digits than its factorization.

12536480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 12536480 is about 3540.6891984471. The cubic root of 12536480 is about 232.3049892909.

The spelling of 12536480 in words is "twelve million, five hundred thirty-six thousand, four hundred eighty".