90221664 has 144 divisors (see below), whose sum is σ = 263414592. Its totient is φ = 27016704.

The previous prime is 90221657. The next prime is 90221683. The reversal of 90221664 is 46612209.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1086967 + ... + 1087049.

It is an arithmetic number, because the mean of its divisors is an integer number (1829268).

Almost surely, 2^90221664 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 90221664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131707296).

90221664 is an abundant number, since it is smaller than the sum of its proper divisors (173192928).

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

90221664 is a wasteful number, since it uses less digits than its factorization.

90221664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 90221664 is about 9498.5085144985. The cubic root of 90221664 is about 448.5080863906.

The spelling of 90221664 in words is "ninety million, two hundred twenty-one thousand, six hundred sixty-four".