9966810 has 64 divisors (see below), whose sum is σ = 28237824. Its totient is φ = 2203200.

The previous prime is 9966799. The next prime is 9966823. The reversal of 9966810 is 186699.

9966810 = T₁₆₈₄ + T₁₆₈₅ + ... + T₁₆₉₀.

It is a super-2 number, since 2×9966810² = 198674603152200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5745 + ... + 7275.

It is an arithmetic number, because the mean of its divisors is an integer number (441216).

Almost surely, 2^9966810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9966810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14118912).

9966810 is an abundant number, since it is smaller than the sum of its proper divisors (18271014).

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

9966810 is a wasteful number, since it uses less digits than its factorization.

9966810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579.

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 9966810 is about 3157.0254987884. The cubic root of 9966810 is about 215.2048525276.

The spelling of 9966810 in words is "nine million, nine hundred sixty-six thousand, eight hundred ten".