12735060 has 96 divisors (see below), whose sum is σ = 39795840. Its totient is φ = 3021312.

The previous prime is 12735059. The next prime is 12735061. The reversal of 12735060 is 6053721.

It is an interprime number because it is at equal distance from previous prime (12735059) and next prime (12735061).

It is a self number, because there is not a number n which added to its sum of digits gives 12735060.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12735061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22339 + ... + 22901.

It is an arithmetic number, because the mean of its divisors is an integer number (414540).

Almost surely, 2^12735060 is an apocalyptic number.

12735060 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 12735060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19897920).

12735060 is an abundant number, since it is smaller than the sum of its proper divisors (27060780).

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

12735060 is a wasteful number, since it uses less digits than its factorization.

12735060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 615 counting only the distinct ones).

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

The square root of 12735060 is about 3568.6215826282. The cubic root of 12735060 is about 233.5251529226.

Adding to 12735060 its reverse (6053721), we get a palindrome (18788781).

The spelling of 12735060 in words is "twelve million, seven hundred thirty-five thousand, sixty".