90580224 has 216 divisors, whose sum is σ = 293600160. Its totient is φ = 24686592.

The previous prime is 90580211. The next prime is 90580261. The reversal of 90580224 is 42208509.

It is a junction number, because it is equal to n+sod(n) for n = 90580191 and 90580200.

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, 1091287 + ... + 1091369.

It is an arithmetic number, because the mean of its divisors is an integer number (1359260).

Almost surely, 2^90580224 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 90580224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146800080).

90580224 is an abundant number, since it is smaller than the sum of its proper divisors (203019936).

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

90580224 is a wasteful number, since it uses less digits than its factorization.

90580224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 90580224 is about 9517.3643410348. The cubic root of 90580224 is about 449.1014563978.

The spelling of 90580224 in words is "ninety million, five hundred eighty thousand, two hundred twenty-four".