12681864 has 96 divisors (see below), whose sum is σ = 39213720. Its totient is φ = 3667968.

The previous prime is 12681859. The next prime is 12681871. The reversal of 12681864 is 46818621.

12681864 = T₂₄₀ + T₂₄₁ + ... + T₄₄₇.

It can be written as a sum of positive squares in 4 ways, for example, as 10304100 + 2377764 = 3210^2 + 1542^2 .

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15514 + ... + 16310.

Almost surely, 2^12681864 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 12681864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19606860).

12681864 is an abundant number, since it is smaller than the sum of its proper divisors (26531856).

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

12681864 is a wasteful number, since it uses less digits than its factorization.

12681864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 832 counting only the distinct ones).

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

The square root of 12681864 is about 3561.1604850105. The cubic root of 12681864 is about 233.1995441640.

The spelling of 12681864 in words is "twelve million, six hundred eighty-one thousand, eight hundred sixty-four".