90086284206 has 48 divisors (see below), whose sum is σ = 200819168784. Its totient is φ = 29165156352.

The previous prime is 90086284199. The next prime is 90086284237. The reversal of 90086284206 is 60248268009.

90086284206 is a `hidden beast` number, since 90 + 0 + 86 + 284 + 206 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254830 + ... + 495086.

It is an arithmetic number, because the mean of its divisors is an integer number (4183732683).

Almost surely, 2^90086284206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90086284206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100409584392).

90086284206 is an abundant number, since it is smaller than the sum of its proper divisors (110732884578).

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

90086284206 is a wasteful number, since it uses less digits than its factorization.

90086284206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240865 (or 240862 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 90086284206 in words is "ninety billion, eighty-six million, two hundred eighty-four thousand, two hundred six".