12683280 has 80 divisors (see below), whose sum is σ = 40265280. Its totient is φ = 3300864.

The previous prime is 12683269. The next prime is 12683287. The reversal of 12683280 is 8238621.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (12683287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9706 + ... + 10934.

It is an arithmetic number, because the mean of its divisors is an integer number (503316).

Almost surely, 2^12683280 is an apocalyptic number.

12683280 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 12683280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20132640).

12683280 is an abundant number, since it is smaller than the sum of its proper divisors (27582000).

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

12683280 is a wasteful number, since it uses less digits than its factorization.

12683280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 12683280 is about 3561.3592910573. The cubic root of 12683280 is about 233.2082231791.

The spelling of 12683280 in words is "twelve million, six hundred eighty-three thousand, two hundred eighty".