98505090 has 72 divisors (see below), whose sum is σ = 267862140. Its totient is φ = 25113792.

The previous prime is 98505079. The next prime is 98505107. The reversal of 98505090 is 9050589.

It can be written as a sum of positive squares in 2 ways, for example, as 91987281 + 6517809 = 9591^2 + 2553^2 .

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 46576 + ... + 48644.

Almost surely, 2^98505090 is an apocalyptic number.

98505090 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 98505090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133931070).

98505090 is an abundant number, since it is smaller than the sum of its proper divisors (169357050).

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

98505090 is a wasteful number, since it uses less digits than its factorization.

98505090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2102 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 98505090 is about 9924.9730478223. The cubic root of 98505090 is about 461.8343421369.

The spelling of 98505090 in words is "ninety-eight million, five hundred five thousand, ninety".