12881664 has 54 divisors (see below), whose sum is σ = 37147656. Its totient is φ = 4293120.

The previous prime is 12881663. The next prime is 12881669. The reversal of 12881664 is 46618821.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12881663) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 492 + ... + 5099.

Almost surely, 2^12881664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12881664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18573828).

12881664 is an abundant number, since it is smaller than the sum of its proper divisors (24265992).

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

12881664 is an equidigital number, since it uses as much as digits as its factorization.

12881664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5613 (or 5596 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 12881664 is about 3589.1035092346. The cubic root of 12881664 is about 234.4178377166.

The spelling of 12881664 in words is "twelve million, eight hundred eighty-one thousand, six hundred sixty-four".