90006500 has 48 divisors (see below), whose sum is σ = 208157040. Its totient is φ = 33881600.

The previous prime is 90006493. The next prime is 90006503. The reversal of 90006500 is 560009.

It can be written as a sum of positive squares in 8 ways, for example, as 34175716 + 55830784 = 5846^2 + 7472^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (90006503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3206 + ... + 13794.

It is an arithmetic number, because the mean of its divisors is an integer number (4336605).

Almost surely, 2^90006500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90006500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104078520).

90006500 is an abundant number, since it is smaller than the sum of its proper divisors (118150540).

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

90006500 is a wasteful number, since it uses less digits than its factorization.

90006500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10625 (or 10613 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 90006500 is about 9487.1755543997. The cubic root of 90006500 is about 448.1512629630.

Adding to 90006500 its reverse (560009), we get a palindrome (90566509).

The spelling of 90006500 in words is "ninety million, six thousand, five hundred".