90365220 has 180 divisors, whose sum is σ = 312268572. Its totient is φ = 21859200.

The previous prime is 90365213. The next prime is 90365227. The reversal of 90365220 is 2256309.

90365220 is a `hidden beast` number, since 9 + 0 + 3 + 652 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (90365213) and next prime (90365227).

It can be written as a sum of positive squares in 2 ways, for example, as 30735936 + 59629284 = 5544^2 + 7722^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (90365227) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 195790 + ... + 196250.

Almost surely, 2^90365220 is an apocalyptic number.

90365220 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 90365220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156134286).

90365220 is an abundant number, since it is smaller than the sum of its proper divisors (221903352).

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

90365220 is a wasteful number, since it uses less digits than its factorization.

90365220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 90365220 is about 9506.0622762530. The cubic root of 90365220 is about 448.7458412155.

The spelling of 90365220 in words is "ninety million, three hundred sixty-five thousand, two hundred twenty".