12876864 has 224 divisors, whose sum is σ = 46427136. Its totient is φ = 3041280.

The previous prime is 12876863. The next prime is 12876887. The reversal of 12876864 is 46867821.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 (12876863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192159 + ... + 192225.

It is an arithmetic number, because the mean of its divisors is an integer number (207264).

Almost surely, 2^12876864 is an apocalyptic number.

12876864 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 12876864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23213568).

12876864 is an abundant number, since it is smaller than the sum of its proper divisors (33550272).

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

12876864 is a wasteful number, since it uses less digits than its factorization.

12876864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 103 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 12876864 is about 3588.4347562691. The cubic root of 12876864 is about 234.3887176327.

The spelling of 12876864 in words is "twelve million, eight hundred seventy-six thousand, eight hundred sixty-four".