12786564 has 72 divisors (see below), whose sum is σ = 35508928. Its totient is φ = 3507840.

The previous prime is 12786559. The next prime is 12786581. The reversal of 12786564 is 46568721.

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, 70554 + ... + 70734.

Almost surely, 2^12786564 is an apocalyptic number.

12786564 is a gapful number since it is divisible by the number (14) 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 12786564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17754464).

12786564 is an abundant number, since it is smaller than the sum of its proper divisors (22722364).

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

12786564 is a wasteful number, since it uses less digits than its factorization.

12786564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 222 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 12786564 is about 3575.8305328972. The cubic root of 12786564 is about 233.8395422721.

The spelling of 12786564 in words is "twelve million, seven hundred eighty-six thousand, five hundred sixty-four".