12883864 has 48 divisors (see below), whose sum is σ = 29343600. Its totient is φ = 5277888.

The previous prime is 12883861. The next prime is 12883903. The reversal of 12883864 is 46838821.

12883864 is a modest number, since divided by 3864 gives 1288 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12883861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8302 + ... + 9730.

It is an arithmetic number, because the mean of its divisors is an integer number (611325).

Almost surely, 2^12883864 is an apocalyptic number.

12883864 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 12883864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14671800).

12883864 is an abundant number, since it is smaller than the sum of its proper divisors (16459736).

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

12883864 is a wasteful number, since it uses less digits than its factorization.

12883864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1461 counting only the distinct ones).

The product of its digits is 73728, while the sum is 40.

The square root of 12883864 is about 3589.4099793699. The cubic root of 12883864 is about 234.4311820041.

The spelling of 12883864 in words is "twelve million, eight hundred eighty-three thousand, eight hundred sixty-four".