10084668 has 48 divisors (see below), whose sum is σ = 27027840. Its totient is φ = 2894400.

The previous prime is 10084667. The next prime is 10084673. The reversal of 10084668 is 86648001.

10084668 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 Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10084667) 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, 498 + ... + 4518.

It is an arithmetic number, because the mean of its divisors is an integer number (563080).

Almost surely, 2^10084668 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 10084668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13513920).

10084668 is an abundant number, since it is smaller than the sum of its proper divisors (16943172).

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

10084668 is a wasteful number, since it uses less digits than its factorization.

10084668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4058 (or 4056 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 10084668 is about 3175.6366290872. The cubic root of 10084668 is about 216.0497999030.

The spelling of 10084668 in words is "ten million, eighty-four thousand, six hundred sixty-eight".