12738880 has 168 divisors, whose sum is σ = 38916864. Its totient is φ = 3886080.

The previous prime is 12738877. The next prime is 12738881. The reversal of 12738880 is 8883721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12738881) 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 23 ways as a sum of consecutive naturals, for example, 271017 + ... + 271063.

It is an arithmetic number, because the mean of its divisors is an integer number (231648).

Almost surely, 2^12738880 is an apocalyptic number.

12738880 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 12738880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19458432).

12738880 is an abundant number, since it is smaller than the sum of its proper divisors (26177984).

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

12738880 is a wasteful number, since it uses less digits than its factorization.

12738880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 12738880 is about 3569.1567631585. The cubic root of 12738880 is about 233.5484999374.

It can be divided in two parts, 1273 and 8880, that added together give a triangular number (10153 = T₁₄₂).

The spelling of 12738880 in words is "twelve million, seven hundred thirty-eight thousand, eight hundred eighty".