12884080 has 60 divisors (see below), whose sum is σ = 32951016. Its totient is φ = 4685120.

The previous prime is 12884077. The next prime is 12884083. The reversal of 12884080 is 8048821.

It is an interprime number because it is at equal distance from previous prime (12884077) and next prime (12884083).

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12884083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1171275 + ... + 1171285.

Almost surely, 2^12884080 is an apocalyptic number.

12884080 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 12884080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16475508).

12884080 is an abundant number, since it is smaller than the sum of its proper divisors (20066936).

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

12884080 is an frugal number, since it uses more digits than its factorization.

12884080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 12884080 is about 3589.4400677543. The cubic root of 12884080 is about 234.4324920887.

The spelling of 12884080 in words is "twelve million, eight hundred eighty-four thousand, eighty".