12869280 has 144 divisors (see below), whose sum is σ = 45680544. Its totient is φ = 3421440.

The previous prime is 12869273. The next prime is 12869299. The reversal of 12869280 is 8296821.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38715 + ... + 39045.

It is an arithmetic number, because the mean of its divisors is an integer number (317226).

Almost surely, 2^12869280 is an apocalyptic number.

12869280 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 12869280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22840272).

12869280 is an abundant number, since it is smaller than the sum of its proper divisors (32811264).

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

12869280 is an equidigital number, since it uses as much as digits as its factorization.

12869280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 12869280 is about 3587.3778724857. The cubic root of 12869280 is about 234.3426931469.

The spelling of 12869280 in words is "twelve million, eight hundred sixty-nine thousand, two hundred eighty".