12867840 has 108 divisors (see below), whose sum is σ = 44561244. Its totient is φ = 3428352.

The previous prime is 12867839. The next prime is 12867847. The reversal of 12867840 is 4876821.

It can be written as a sum of positive squares in 2 ways, for example, as 2214144 + 10653696 = 1488^2 + 3264^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 12867795 and 12867804.

It is not an unprimeable number, because it can be changed into a prime (12867847) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 10962 + ... + 12078.

Almost surely, 2^12867840 is an apocalyptic number.

12867840 is a gapful number since it is divisible by the number (10) 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 12867840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22280622).

12867840 is an abundant number, since it is smaller than the sum of its proper divisors (31693404).

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

12867840 is a wasteful number, since it uses less digits than its factorization.

12867840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 12867840 is about 3587.1771631744. The cubic root of 12867840 is about 234.3339522781. Note that the first 3 decimals are identical.

The spelling of 12867840 in words is "twelve million, eight hundred sixty-seven thousand, eight hundred forty".