90270990 has 64 divisors (see below), whose sum is σ = 241643520. Its totient is φ = 23980320.

The previous prime is 90270979. The next prime is 90270991. The reversal of 90270990 is 9907209.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90270991) 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 31 ways as a sum of consecutive naturals, for example, 98635 + ... + 99545.

It is an arithmetic number, because the mean of its divisors is an integer number (3775680).

Almost surely, 2^90270990 is an apocalyptic number.

90270990 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90270990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120821760).

90270990 is an abundant number, since it is smaller than the sum of its proper divisors (151372530).

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

90270990 is a wasteful number, since it uses less digits than its factorization.

90270990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 90270990 is about 9501.1046726157. The cubic root of 90270990 is about 448.5898076329.

The spelling of 90270990 in words is "ninety million, two hundred seventy thousand, nine hundred ninety".