90205218 has 64 divisors (see below), whose sum is σ = 212889600. Its totient is φ = 28250640.

The previous prime is 90205187. The next prime is 90205229. The reversal of 90205218 is 81250209.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 90205191 and 90205200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72663 + ... + 73893.

It is an arithmetic number, because the mean of its divisors is an integer number (3326400).

Almost surely, 2^90205218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90205218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106444800).

90205218 is an abundant number, since it is smaller than the sum of its proper divisors (122684382).

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

90205218 is a wasteful number, since it uses less digits than its factorization.

90205218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 90205218 is about 9497.6427601800. The cubic root of 90205218 is about 448.4808327286.

The spelling of 90205218 in words is "ninety million, two hundred five thousand, two hundred eighteen".