12783960 has 256 divisors, whose sum is σ = 51840000. Its totient is φ = 2737152.

The previous prime is 12783931. The next prime is 12783973. The reversal of 12783960 is 6938721.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143596 + ... + 143684.

It is an arithmetic number, because the mean of its divisors is an integer number (202500).

Almost surely, 2^12783960 is an apocalyptic number.

12783960 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 12783960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25920000).

12783960 is an abundant number, since it is smaller than the sum of its proper divisors (39056040).

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

12783960 is a wasteful number, since it uses less digits than its factorization.

12783960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 12783960 is about 3575.4664031424. The cubic root of 12783960 is about 233.8236672878.

The spelling of 12783960 in words is "twelve million, seven hundred eighty-three thousand, nine hundred sixty".