10066410 has 64 divisors (see below), whose sum is σ = 28028160. Its totient is φ = 2566080.

The previous prime is 10066373. The next prime is 10066411. The reversal of 10066410 is 1466001.

10066410 is a `hidden beast` number, since 1 + 0 + 0 + 664 + 1 + 0 = 666.

It is a super-2 number, since 2×10066410² = 202665220576200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10066411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5400 + ... + 7020.

It is an arithmetic number, because the mean of its divisors is an integer number (437940).

Almost surely, 2^10066410 is an apocalyptic number.

10066410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10066410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14014080).

10066410 is an abundant number, since it is smaller than the sum of its proper divisors (17961750).

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

10066410 is a wasteful number, since it uses less digits than its factorization.

10066410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10066410 is about 3172.7606275923. The cubic root of 10066410 is about 215.9193371650.

The spelling of 10066410 in words is "ten million, sixty-six thousand, four hundred ten".