12795840 has 112 divisors (see below), whose sum is σ = 45171360. Its totient is φ = 3409920.

The previous prime is 12795829. The next prime is 12795847. The reversal of 12795840 is 4859721.

12795840 is a `hidden beast` number, since 1 + 2 + 79 + 584 + 0 = 666.

12795840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 12795795 and 12795804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12795847) 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, 7900 + ... + 9380.

Almost surely, 2^12795840 is an apocalyptic number.

12795840 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 12795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22585680).

12795840 is an abundant number, since it is smaller than the sum of its proper divisors (32375520).

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

12795840 is a wasteful number, since it uses less digits than its factorization.

12795840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 12795840 is about 3577.1273390809. The cubic root of 12795840 is about 233.8960748241.

The spelling of 12795840 in words is "twelve million, seven hundred ninety-five thousand, eight hundred forty".