10008090 has 64 divisors (see below), whose sum is σ = 27025920. Its totient is φ = 2635200.

The previous prime is 10008083. The next prime is 10008101. The reversal of 10008090 is 9080001.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 27087 + ... + 27453.

It is an arithmetic number, because the mean of its divisors is an integer number (422280).

Almost surely, 2^10008090 is an apocalyptic number.

10008090 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 10008090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13512960).

10008090 is an abundant number, since it is smaller than the sum of its proper divisors (17017830).

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

10008090 is a wasteful number, since it uses less digits than its factorization.

10008090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 10008090 is about 3163.5565428802. The cubic root of 10008090 is about 215.5015512653.

Adding to 10008090 its reverse (9080001), we get a palindrome (19088091).

The spelling of 10008090 in words is "ten million, eight thousand, ninety".