12884564 has 36 divisors (see below), whose sum is σ = 28332192. Its totient is φ = 5018640.

The previous prime is 12884549. The next prime is 12884567. The reversal of 12884564 is 46548821.

It is a happy number.

It is a super-3 number, since 3×12884564³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12884567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1487 + ... + 5289.

Almost surely, 2^12884564 is an apocalyptic number.

12884564 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 12884564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14166096).

12884564 is an abundant number, since it is smaller than the sum of its proper divisors (15447628).

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

12884564 is a wasteful number, since it uses less digits than its factorization.

12884564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3836 (or 3823 counting only the distinct ones).

The product of its digits is 61440, while the sum is 38.

The square root of 12884564 is about 3589.5074871074. The cubic root of 12884564 is about 234.4354275952.

The spelling of 12884564 in words is "twelve million, eight hundred eighty-four thousand, five hundred sixty-four".