90008010 has 40 divisors (see below), whose sum is σ = 242023716. Its totient is φ = 24001920.

The previous prime is 90007937. The next prime is 90008021. The reversal of 90008010 is 1080009.

It can be written as a sum of positive squares in 2 ways, for example, as 89813529 + 194481 = 9477^2 + 441^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 54751 + ... + 56370.

Almost surely, 2^90008010 is an apocalyptic number.

90008010 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

90008010 is an abundant number, since it is smaller than the sum of its proper divisors (152015706).

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

90008010 is a wasteful number, since it uses less digits than its factorization.

90008010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111140 (or 111131 counting only the distinct ones).

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

The square root of 90008010 is about 9487.2551351800. The cubic root of 90008010 is about 448.1537690954.

Adding to 90008010 its reverse (1080009), we get a palindrome (91088019).

The spelling of 90008010 in words is "ninety million, eight thousand, ten".