12642408 has 48 divisors (see below), whose sum is σ = 34896420. Its totient is φ = 4133376.

The previous prime is 12642397. The next prime is 12642437. The reversal of 12642408 is 80424621.

12642408 is a `hidden beast` number, since 12 + 642 + 4 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11009124 + 1633284 = 3318^2 + 1278^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2160 + ... + 5472.

Almost surely, 2^12642408 is an apocalyptic number.

12642408 is a gapful number since it is divisible by the number (18) 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 12642408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17448210).

12642408 is an abundant number, since it is smaller than the sum of its proper divisors (22254012).

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

12642408 is a wasteful number, since it uses less digits than its factorization.

12642408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3378 (or 3371 counting only the distinct ones).

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

The square root of 12642408 is about 3555.6164022571. The cubic root of 12642408 is about 232.9574483133.

The spelling of 12642408 in words is "twelve million, six hundred forty-two thousand, four hundred eight".