10668000 has 192 divisors, whose sum is σ = 40255488. Its totient is φ = 2419200.

The previous prime is 10667989. The next prime is 10668017. The reversal of 10668000 is 86601.

10668000 is a nontrivial binomial coefficient, being equal to C(128, 4).

It is a super-2 number, since 2×10668000² = 227612448000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83937 + ... + 84063.

It is an arithmetic number, because the mean of its divisors is an integer number (209664).

Almost surely, 2^10668000 is an apocalyptic number.

10668000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10668000 is the 2667-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20127744).

10668000 is an abundant number, since it is smaller than the sum of its proper divisors (29587488).

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

10668000 is a wasteful number, since it uses less digits than its factorization.

10668000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 10668000 is about 3266.1904414777. The cubic root of 10668000 is about 220.1376548976.

The spelling of 10668000 in words is "ten million, six hundred sixty-eight thousand".