90585198 has 96 divisors (see below), whose sum is σ = 228384000. Its totient is φ = 25874640.

The previous prime is 90585181. The next prime is 90585199. The reversal of 90585198 is 89158509.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90585199) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 455103 + ... + 455301.

It is an arithmetic number, because the mean of its divisors is an integer number (2379000).

Almost surely, 2^90585198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90585198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114192000).

90585198 is an abundant number, since it is smaller than the sum of its proper divisors (137798802).

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

90585198 is a wasteful number, since it uses less digits than its factorization.

90585198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The square root of 90585198 is about 9517.6256492888. The cubic root of 90585198 is about 449.1096766974.

The spelling of 90585198 in words is "ninety million, five hundred eighty-five thousand, one hundred ninety-eight".