12657040 has 80 divisors (see below), whose sum is σ = 33837120. Its totient is φ = 4354560.

The previous prime is 12657013. The next prime is 12657041. The reversal of 12657040 is 4075621.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 12656996 and 12657014.

It is not an unprimeable number, because it can be changed into a prime (12657041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16342 + ... + 17098.

It is an arithmetic number, because the mean of its divisors is an integer number (422964).

Almost surely, 2^12657040 is an apocalyptic number.

12657040 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 12657040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16918560).

12657040 is an abundant number, since it is smaller than the sum of its proper divisors (21180080).

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

12657040 is a wasteful number, since it uses less digits than its factorization.

12657040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 12657040 is about 3557.6733970391. The cubic root of 12657040 is about 233.0472866628.

The spelling of 12657040 in words is "twelve million, six hundred fifty-seven thousand, forty".