12788460 has 72 divisors (see below), whose sum is σ = 40491360. Its totient is φ = 3260928.

The previous prime is 12788459. The next prime is 12788473. The reversal of 12788460 is 6488721.

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

It is an unprimeable number.

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, 2596 + ... + 5684.

It is an arithmetic number, because the mean of its divisors is an integer number (562380).

Almost surely, 2^12788460 is an apocalyptic number.

12788460 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 12788460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20245680).

12788460 is an abundant number, since it is smaller than the sum of its proper divisors (27702900).

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

12788460 is a wasteful number, since it uses less digits than its factorization.

12788460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3127 (or 3122 counting only the distinct ones).

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

The square root of 12788460 is about 3576.0956363050. The cubic root of 12788460 is about 233.8510996606.

The spelling of 12788460 in words is "twelve million, seven hundred eighty-eight thousand, four hundred sixty".