10668320 has 96 divisors (see below), whose sum is σ = 28449792. Its totient is φ = 3750912.

The previous prime is 10668313. The next prime is 10668331. The reversal of 10668320 is 2386601.

It is a super-2 number, since 2×10668320² = 227626103244800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 10668320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47729 + ... + 47951.

It is an arithmetic number, because the mean of its divisors is an integer number (296352).

Almost surely, 2^10668320 is an apocalyptic number.

10668320 is a gapful number since it is divisible by the number (10) 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 10668320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14224896).

10668320 is an abundant number, since it is smaller than the sum of its proper divisors (17781472).

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

10668320 is a wasteful number, since it uses less digits than its factorization.

10668320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 10668320 is about 3266.2394278436. The cubic root of 10668320 is about 220.1398559770.

The spelling of 10668320 in words is "ten million, six hundred sixty-eight thousand, three hundred twenty".