12642840 has 192 divisors, whose sum is σ = 48859200. Its totient is φ = 2774016.

The previous prime is 12642827. The next prime is 12642841. The reversal of 12642840 is 4824621.

12642840 is a `hidden beast` number, since 12 + 642 + 8 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12642841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72994 + ... + 73166.

It is an arithmetic number, because the mean of its divisors is an integer number (254475).

Almost surely, 2^12642840 is an apocalyptic number.

12642840 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 12642840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24429600).

12642840 is an abundant number, since it is smaller than the sum of its proper divisors (36216360).

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

12642840 is a wasteful number, since it uses less digits than its factorization.

12642840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 12642840 is about 3555.6771506986. The cubic root of 12642840 is about 232.9601017232.

The spelling of 12642840 in words is "twelve million, six hundred forty-two thousand, eight hundred forty".