90084016 has 120 divisors (see below), whose sum is σ = 211097600. Its totient is φ = 37065600.

The previous prime is 90084013. The next prime is 90084017. The reversal of 90084016 is 61048009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90084013) 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 23 ways as a sum of consecutive naturals, for example, 1140265 + ... + 1140343.

Almost surely, 2^90084016 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 90084016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105548800).

90084016 is an abundant number, since it is smaller than the sum of its proper divisors (121013584).

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

90084016 is a wasteful number, since it uses less digits than its factorization.

90084016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 90084016 is about 9491.2599795812. The cubic root of 90084016 is about 448.2798793236.

The spelling of 90084016 in words is "ninety million, eighty-four thousand, sixteen".