90686016 has 168 divisors, whose sum is σ = 276377400. Its totient is φ = 28385280.

The previous prime is 90685999. The next prime is 90686039. The reversal of 90686016 is 61068609.

It can be written as a sum of positive squares in 4 ways, for example, as 360000 + 90326016 = 600^2 + 9504^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1018900 + ... + 1018988.

Almost surely, 2^90686016 is an apocalyptic number.

90686016 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90686016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138188700).

90686016 is an abundant number, since it is smaller than the sum of its proper divisors (185691384).

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

90686016 is a wasteful number, since it uses less digits than its factorization.

90686016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 90686016 is about 9522.9205604163. The cubic root of 90686016 is about 449.2762291183.

The spelling of 90686016 in words is "ninety million, six hundred eighty-six thousand, sixteen".