12730560 has 112 divisors (see below), whose sum is σ = 41148000. Its totient is φ = 3334144.

The previous prime is 12730519. The next prime is 12730567. The reversal of 12730560 is 6503721.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12730560.

It is not an unprimeable number, because it can be changed into a prime (12730567) 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, 85366 + ... + 85514.

Almost surely, 2^12730560 is an apocalyptic number.

12730560 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 12730560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20574000).

12730560 is an abundant number, since it is smaller than the sum of its proper divisors (28417440).

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

12730560 is a wasteful number, since it uses less digits than its factorization.

12730560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 12730560 is about 3567.9910313789. The cubic root of 12730560 is about 233.4976439045.

The spelling of 12730560 in words is "twelve million, seven hundred thirty thousand, five hundred sixty".