10830006 has 48 divisors (see below), whose sum is σ = 25945920. Its totient is φ = 3237360.

The previous prime is 10829999. The next prime is 10830007. The reversal of 10830006 is 60003801.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10830007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16105 + ... + 16763.

It is an arithmetic number, because the mean of its divisors is an integer number (540540).

Almost surely, 2^10830006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10830006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12972960).

10830006 is an abundant number, since it is smaller than the sum of its proper divisors (15115914).

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

10830006 is a wasteful number, since it uses less digits than its factorization.

10830006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 758 counting only the distinct ones).

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

The square root of 10830006 is about 3290.8974459864. The cubic root of 10830006 is about 221.2464099772.

Adding to 10830006 its reverse (60003801), we get a palindrome (70833807).

The spelling of 10830006 in words is "ten million, eight hundred thirty thousand, six".