90910000 has 50 divisors (see below), whose sum is σ = 220126412. Its totient is φ = 36360000.

The previous prime is 90909991. The next prime is 90910009. The reversal of 90910000 is 1909.

It is an interprime number because it is at equal distance from previous prime (90909991) and next prime (90910009).

It is a tau number, because it is divible by the number of its divisors (50).

It is a self number, because there is not a number n which added to its sum of digits gives 90910000.

It is not an unprimeable number, because it can be changed into a prime (90910009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5455 + ... + 14545.

Almost surely, 2^90910000 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 90910000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110063206).

90910000 is an abundant number, since it is smaller than the sum of its proper divisors (129216412).

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

90910000 is an equidigital number, since it uses as much as digits as its factorization.

90910000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9119 (or 9098 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 19.

The square root of 90910000 is about 9534.6735654662. The cubic root of 90910000 is about 449.6458118320.

Adding to 90910000 its reverse (1909), we get a palindrome (90911909).

The spelling of 90910000 in words is "ninety million, nine hundred ten thousand".