10006650 has 72 divisors (see below), whose sum is σ = 27657084. Its totient is φ = 2592000.

The previous prime is 10006649. The next prime is 10006657. The reversal of 10006650 is 5660001.

10006650 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 665 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 7601049 + 2405601 = 2757^2 + 1551^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10006657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16350 + ... + 16950.

Almost surely, 2^10006650 is an apocalyptic number.

10006650 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 10006650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13828542).

10006650 is an abundant number, since it is smaller than the sum of its proper divisors (17650434).

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

10006650 is a wasteful number, since it uses less digits than its factorization.

10006650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 10006650 is about 3163.3289427437. The cubic root of 10006650 is about 215.4912150567.

Adding to 10006650 its reverse (5660001), we get a palindrome (15666651).

The spelling of 10006650 in words is "ten million, six thousand, six hundred fifty".