10066000 has 80 divisors (see below), whose sum is σ = 27855360. Its totient is φ = 3446400.

The previous prime is 10065983. The next prime is 10066003. The reversal of 10066000 is 66001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10066003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13641 + ... + 14359.

It is an arithmetic number, because the mean of its divisors is an integer number (348192).

Almost surely, 2^10066000 is an apocalyptic number.

10066000 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 10066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13927680).

10066000 is an abundant number, since it is smaller than the sum of its proper divisors (17789360).

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

10066000 is an equidigital number, since it uses as much as digits as its factorization.

10066000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 10066000 is about 3172.6960144332. The cubic root of 10066000 is about 215.9164056953.

Subtracting from 10066000 its reverse (66001), we obtain a palindrome (9999999).

The spelling of 10066000 in words is "ten million, sixty-six thousand".