12685540 has 72 divisors (see below), whose sum is σ = 32260032. Its totient is φ = 4104000.

The previous prime is 12685537. The next prime is 12685567. The reversal of 12685540 is 4558621.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50415 + ... + 50665.

It is an arithmetic number, because the mean of its divisors is an integer number (448056).

Almost surely, 2^12685540 is an apocalyptic number.

12685540 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 12685540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16130016).

12685540 is an abundant number, since it is smaller than the sum of its proper divisors (19574492).

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

12685540 is a wasteful number, since it uses less digits than its factorization.

12685540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 12685540 is about 3561.6765715039. The cubic root of 12685540 is about 233.2220739412. Note that the first 3 decimals are identical.

It can be divided in two parts, 12685 and 540, that added together give a square (13225 = 115²).

The spelling of 12685540 in words is "twelve million, six hundred eighty-five thousand, five hundred forty".