12869040 has 120 divisors (see below), whose sum is σ = 42251760. Its totient is φ = 3236352.

The previous prime is 12869033. The next prime is 12869041. The reversal of 12869040 is 4096821.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×12869040² = 331224381043200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12868989 and 12869007.

It is not an unprimeable number, because it can be changed into a prime (12869041) 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 23 ways as a sum of consecutive naturals, for example, 299259 + ... + 299301.

It is an arithmetic number, because the mean of its divisors is an integer number (352098).

Almost surely, 2^12869040 is an apocalyptic number.

12869040 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 12869040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21125880).

12869040 is an abundant number, since it is smaller than the sum of its proper divisors (29382720).

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

12869040 is a wasteful number, since it uses less digits than its factorization.

12869040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 12869040 is about 3587.3444217136. The cubic root of 12869040 is about 234.3412363808.

The spelling of 12869040 in words is "twelve million, eight hundred sixty-nine thousand, forty".