12671560 has 64 divisors (see below), whose sum is σ = 32140800. Its totient is φ = 4454400.

The previous prime is 12671557. The next prime is 12671563. The reversal of 12671560 is 6517621.

It is an interprime number because it is at equal distance from previous prime (12671557) and next prime (12671563).

It is not an unprimeable number, because it can be changed into a prime (12671563) 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, 13176 + ... + 14104.

It is an arithmetic number, because the mean of its divisors is an integer number (502200).

Almost surely, 2^12671560 is an apocalyptic number.

12671560 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 12671560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16070400).

12671560 is an abundant number, since it is smaller than the sum of its proper divisors (19469240).

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

12671560 is a wasteful number, since it uses less digits than its factorization.

12671560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 12671560 is about 3559.7134716154. The cubic root of 12671560 is about 233.1363689300.

It can be divided in two parts, 12671 and 560, that added together give a palindrome (13231).

The spelling of 12671560 in words is "twelve million, six hundred seventy-one thousand, five hundred sixty".