12845840 has 120 divisors (see below), whose sum is σ = 36258840. Its totient is φ = 4214784.

The previous prime is 12845839. The next prime is 12845849. The reversal of 12845840 is 4854821.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 784 + 12845056 = 28^2 + 3584^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12845797 and 12845806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12845849) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113624 + ... + 113736.

It is an arithmetic number, because the mean of its divisors is an integer number (302157).

Almost surely, 2^12845840 is an apocalyptic number.

12845840 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 12845840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18129420).

12845840 is an abundant number, since it is smaller than the sum of its proper divisors (23413000).

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

12845840 is a wasteful number, since it uses less digits than its factorization.

12845840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 12845840 is about 3584.1093733311. The cubic root of 12845840 is about 234.2003300655.

The spelling of 12845840 in words is "twelve million, eight hundred forty-five thousand, eight hundred forty".