12642456 has 64 divisors (see below), whose sum is σ = 33926400. Its totient is φ = 3915648.

The previous prime is 12642437. The next prime is 12642457. The reversal of 12642456 is 65424621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12642457) 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, 20115 + ... + 20733.

It is an arithmetic number, because the mean of its divisors is an integer number (530100).

Almost surely, 2^12642456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12642456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16963200).

12642456 is an abundant number, since it is smaller than the sum of its proper divisors (21283944).

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

12642456 is a wasteful number, since it uses less digits than its factorization.

12642456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 684 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 12642456 is about 3555.6231521352. The cubic root of 12642456 is about 232.9577431396.

The spelling of 12642456 in words is "twelve million, six hundred forty-two thousand, four hundred fifty-six".