90164228 has 48 divisors (see below), whose sum is σ = 199148544. Its totient is φ = 34695840.

The previous prime is 90164203. The next prime is 90164237. The reversal of 90164228 is 82246109.

It is a junction number, because it is equal to n+sod(n) for n = 90164194 and 90164203.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 23801 + ... + 27327.

It is an arithmetic number, because the mean of its divisors is an integer number (4148928).

Almost surely, 2^90164228 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 90164228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99574272).

90164228 is an abundant number, since it is smaller than the sum of its proper divisors (108984316).

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

90164228 is a wasteful number, since it uses less digits than its factorization.

90164228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3632 (or 3630 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 90164228 is about 9495.4846111191. The cubic root of 90164228 is about 448.4128912985.

The spelling of 90164228 in words is "ninety million, one hundred sixty-four thousand, two hundred twenty-eight".