90016 has 24 divisors (see below), whose sum is σ = 185220. Its totient is φ = 43008.

The previous prime is 90011. The next prime is 90017. The reversal of 90016 is 61009.

It can be written as a sum of positive squares in 2 ways, for example, as 90000 + 16 = 300^2 + 4^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (90011) by changing a digit.

90016 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 880 + ... + 976.

2⁹⁰⁰¹⁶ 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 90016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92610).

90016 is an abundant number, since it is smaller than the sum of its proper divisors (95204).

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

90016 is a wasteful number, since it uses less digits than its factorization.

90016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 90016 is about 300.0266654816. The cubic root of 90016 is about 44.8167029555.

Subtracting from 90016 its sum of digits (16), we obtain a square (90000 = 300²).

It can be divided in two parts, 900 and 16, that multiplied together give a square (14400 = 120²).

The spelling of 90016 in words is "ninety thousand, sixteen".