90216 has 48 divisors (see below), whose sum is σ = 280800. Its totient is φ = 25632.

The previous prime is 90203. The next prime is 90217. The reversal of 90216 is 61209.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (90217) by changing a digit.

90216 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 11 ways as a sum of consecutive naturals, for example, 415 + ... + 593.

It is an arithmetic number, because the mean of its divisors is an integer number (5850).

2⁹⁰²¹⁶ 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 90216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140400).

90216 is an abundant number, since it is smaller than the sum of its proper divisors (190584).

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

90216 is a wasteful number, since it uses less digits than its factorization.

90216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 90216 is about 300.3597842588. The cubic root of 90216 is about 44.8498700607.

The spelling of 90216 in words is "ninety thousand, two hundred sixteen".