12786540 has 96 divisors (see below), whose sum is σ = 39184320. Its totient is φ = 3115008.

The previous prime is 12786511. The next prime is 12786559. The reversal of 12786540 is 4568721.

12786540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131772 + ... + 131868.

It is an arithmetic number, because the mean of its divisors is an integer number (408170).

Almost surely, 2^12786540 is an apocalyptic number.

12786540 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 12786540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19592160).

12786540 is an abundant number, since it is smaller than the sum of its proper divisors (26397780).

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

12786540 is a wasteful number, since it uses less digits than its factorization.

12786540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 12786540 is about 3575.8271770319. The cubic root of 12786540 is about 233.8393959688.

The spelling of 12786540 in words is "twelve million, seven hundred eighty-six thousand, five hundred forty".