12546560 has 120 divisors (see below), whose sum is σ = 33697620. Its totient is φ = 4472832.

The previous prime is 12546559. The next prime is 12546571. The reversal of 12546560 is 6564521.

It can be written as a sum of positive squares in 6 ways, for example, as 1364224 + 11182336 = 1168^2 + 3344^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 432626 + ... + 432654.

Almost surely, 2^12546560 is an apocalyptic number.

12546560 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 12546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16848810).

12546560 is an abundant number, since it is smaller than the sum of its proper divisors (21151060).

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

12546560 is an equidigital number, since it uses as much as digits as its factorization.

12546560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 12546560 is about 3542.1123641127. The cubic root of 12546560 is about 232.3672344871.

The spelling of 12546560 in words is "twelve million, five hundred forty-six thousand, five hundred sixty".