10042668 has 36 divisors (see below), whose sum is σ = 25699128. Its totient is φ = 3306240.

The previous prime is 10042639. The next prime is 10042673. The reversal of 10042668 is 86624001.

10042668 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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, 1308 + ... + 4668.

Almost surely, 2^10042668 is an apocalyptic number.

10042668 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 10042668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12849564).

10042668 is an abundant number, since it is smaller than the sum of its proper divisors (15656460).

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

10042668 is a wasteful number, since it uses less digits than its factorization.

10042668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3454 (or 3449 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 10042668 is about 3169.0168822523. The cubic root of 10042668 is about 215.7494522896.

Adding to 10042668 its reverse (86624001), we get a palindrome (96666669).

The spelling of 10042668 in words is "ten million, forty-two thousand, six hundred sixty-eight".