10066800 has 60 divisors (see below), whose sum is σ = 32251160. Its totient is φ = 2684160.

The previous prime is 10066783. The next prime is 10066807. The reversal of 10066800 is 866001.

10066800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10066807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2995 + ... + 5394.

Almost surely, 2^10066800 is an apocalyptic number.

10066800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10066800 is an abundant number, since it is smaller than the sum of its proper divisors (22184360).

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

10066800 is a wasteful number, since it uses less digits than its factorization.

10066800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8410 (or 8399 counting only the distinct ones).

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

The square root of 10066800 is about 3172.8220876690. The cubic root of 10066800 is about 215.9221255624.

The spelling of 10066800 in words is "ten million, sixty-six thousand, eight hundred".