10442688 has 56 divisors (see below), whose sum is σ = 27901392. Its totient is φ = 3446784.

The previous prime is 10442683. The next prime is 10442689. The reversal of 10442688 is 88624401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10442683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26106 + ... + 26502.

Almost surely, 2^10442688 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 10442688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13950696).

10442688 is an abundant number, since it is smaller than the sum of its proper divisors (17458704).

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

10442688 is a wasteful number, since it uses less digits than its factorization.

10442688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 10442688 is about 3231.5148150674. The cubic root of 10442688 is about 218.5768187951.

The spelling of 10442688 in words is "ten million, four hundred forty-two thousand, six hundred eighty-eight".