10668384 has 72 divisors (see below), whose sum is σ = 32137560. Its totient is φ = 3345408.

The previous prime is 10668379. The next prime is 10668407. The reversal of 10668384 is 48386601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10668384² = 227628834342912, which contains 22 as substring.

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

It is a congruent number.

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, 3807 + ... + 5985.

It is an arithmetic number, because the mean of its divisors is an integer number (446355).

Almost surely, 2^10668384 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 10668384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16068780).

10668384 is an abundant number, since it is smaller than the sum of its proper divisors (21469176).

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

10668384 is a wasteful number, since it uses less digits than its factorization.

10668384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212 (or 2201 counting only the distinct ones).

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

The square root of 10668384 is about 3266.2492250286. The cubic root of 10668384 is about 220.1402961876.

The spelling of 10668384 in words is "ten million, six hundred sixty-eight thousand, three hundred eighty-four".