10384668 has 108 divisors (see below), whose sum is σ = 31704400. Its totient is φ = 2864736.

The previous prime is 10384667. The next prime is 10384681. The reversal of 10384668 is 86648301.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10384667) 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 35 ways as a sum of consecutive naturals, for example, 358078 + ... + 358106.

Almost surely, 2^10384668 is an apocalyptic number.

10384668 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 10384668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15852200).

10384668 is an abundant number, since it is smaller than the sum of its proper divisors (21319732).

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

10384668 is a wasteful number, since it uses less digits than its factorization.

10384668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 10384668 is about 3222.5250968767. The cubic root of 10384668 is about 218.1712595269.

The spelling of 10384668 in words is "ten million, three hundred eighty-four thousand, six hundred sixty-eight".