10666800 has 90 divisors (see below), whose sum is σ = 37029252. Its totient is φ = 2843520.

The previous prime is 10666793. The next prime is 10666801. The reversal of 10666800 is 866601.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×10666800² = 227561244480000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10666801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2119 + ... + 5081.

Almost surely, 2^10666800 is an apocalyptic number.

10666800 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 10666800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18514626).

10666800 is an abundant number, since it is smaller than the sum of its proper divisors (26362452).

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

10666800 is a wasteful number, since it uses less digits than its factorization.

10666800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10666800 is about 3266.0067360616. The cubic root of 10666800 is about 220.1294004578.

The spelling of 10666800 in words is "ten million, six hundred sixty-six thousand, eight hundred".