12683440 has 160 divisors (see below), whose sum is σ = 38568960. Its totient is φ = 3763200.

The previous prime is 12683423. The next prime is 12683443. The reversal of 12683440 is 4438621.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 12683399 and 12683408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12683443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178605 + ... + 178675.

It is an arithmetic number, because the mean of its divisors is an integer number (241056).

Almost surely, 2^12683440 is an apocalyptic number.

12683440 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 12683440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19284480).

12683440 is an abundant number, since it is smaller than the sum of its proper divisors (25885520).

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

12683440 is a wasteful number, since it uses less digits than its factorization.

12683440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 12683440 is about 3561.3817543195. The cubic root of 12683440 is about 233.2092038181.

The spelling of 12683440 in words is "twelve million, six hundred eighty-three thousand, four hundred forty".