12753840 has 80 divisors (see below), whose sum is σ = 43140096. Its totient is φ = 3091200.

The previous prime is 12753833. The next prime is 12753841. The reversal of 12753840 is 4835721.

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 a junction number, because it is equal to n+sod(n) for n = 12753798 and 12753807.

It is not an unprimeable number, because it can be changed into a prime (12753841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225 + ... + 5055.

Almost surely, 2^12753840 is an apocalyptic number.

12753840 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 12753840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21570048).

12753840 is an abundant number, since it is smaller than the sum of its proper divisors (30386256).

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

12753840 is a wasteful number, since it uses less digits than its factorization.

12753840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4858 (or 4852 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 12753840 is about 3571.2518813436. The cubic root of 12753840 is about 233.6398873216.

It can be divided in two parts, 1275 and 3840, that added together give a palindrome (5115).

The spelling of 12753840 in words is "twelve million, seven hundred fifty-three thousand, eight hundred forty".