12845040 has 160 divisors (see below), whose sum is σ = 44997120. Its totient is φ = 3007488.

The previous prime is 12845033. The next prime is 12845069. The reversal of 12845040 is 4054821.

12845040 = 618² + 619² + ... + 649².

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 12845040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71671 + ... + 71849.

It is an arithmetic number, because the mean of its divisors is an integer number (281232).

Almost surely, 2^12845040 is an apocalyptic number.

12845040 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 12845040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22498560).

12845040 is an abundant number, since it is smaller than the sum of its proper divisors (32152080).

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

12845040 is a wasteful number, since it uses less digits than its factorization.

12845040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 12845040 is about 3583.9977678564. The cubic root of 12845040 is about 234.1954682022.

Adding to 12845040 its reverse (4054821), we get a palindrome (16899861).

The spelling of 12845040 in words is "twelve million, eight hundred forty-five thousand, forty".