90590220 has 108 divisors (see below), whose sum is σ = 319685184. Its totient is φ = 20704320.

The previous prime is 90590209. The next prime is 90590221. The reversal of 90590220 is 2209509.

It is not an unprimeable number, because it can be changed into a prime (90590221) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 3685 + ... + 13955.

It is an arithmetic number, because the mean of its divisors is an integer number (2960048).

Almost surely, 2^90590220 is an apocalyptic number.

90590220 is a gapful number since it is divisible by the number (90) 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 90590220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159842592).

90590220 is an abundant number, since it is smaller than the sum of its proper divisors (229094964).

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

90590220 is a wasteful number, since it uses less digits than its factorization.

90590220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10300 (or 10288 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 90590220 is about 9517.8894719365. The cubic root of 90590220 is about 449.1179760192.

Adding to 90590220 its reverse (2209509), we get a palindrome (92799729).

It can be divided in two parts, 905 and 90220, that added together give a cube (91125 = 45³).

The spelling of 90590220 in words is "ninety million, five hundred ninety thousand, two hundred twenty".