90085248 has 96 divisors (see below), whose sum is σ = 282835800. Its totient is φ = 27294720.

The previous prime is 90085231. The next prime is 90085253. The reversal of 90085248 is 84258009.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 9118 + ... + 16226.

Almost surely, 2^90085248 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 90085248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141417900).

90085248 is an abundant number, since it is smaller than the sum of its proper divisors (192750552).

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

90085248 is a wasteful number, since it uses less digits than its factorization.

90085248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7140 (or 7125 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 90085248 is about 9491.3248811744. The cubic root of 90085248 is about 448.2819228911.

The spelling of 90085248 in words is "ninety million, eighty-five thousand, two hundred forty-eight".