12783360 has 72 divisors (see below), whose sum is σ = 40839120. Its totient is φ = 3407872.

The previous prime is 12783359. The next prime is 12783361. The reversal of 12783360 is 6338721.

It is an interprime number because it is at equal distance from previous prime (12783359) and next prime (12783361).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12783361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2176 + ... + 5504.

It is an arithmetic number, because the mean of its divisors is an integer number (567210).

Almost surely, 2^12783360 is an apocalyptic number.

12783360 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 12783360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20419560).

12783360 is an abundant number, since it is smaller than the sum of its proper divisors (28055760).

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

12783360 is an equidigital number, since it uses as much as digits as its factorization.

12783360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3353 (or 3339 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 12783360 is about 3575.3824970204. The cubic root of 12783360 is about 233.8200091518.

The spelling of 12783360 in words is "twelve million, seven hundred eighty-three thousand, three hundred sixty".