90289300 has 36 divisors (see below), whose sum is σ = 196417116. Its totient is φ = 36025600.

The previous prime is 90289291. The next prime is 90289301. The reversal of 90289300 is 398209.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6895876 + 83393424 = 2626^2 + 9132^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90289301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51234 + ... + 52966.

It is an arithmetic number, because the mean of its divisors is an integer number (5456031).

Almost surely, 2^90289300 is an apocalyptic number.

It is an amenable number.

90289300 is an abundant number, since it is smaller than the sum of its proper divisors (106127816).

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

90289300 is a wasteful number, since it uses less digits than its factorization.

90289300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 90289300 is about 9502.0681959245. The cubic root of 90289300 is about 448.6201352945.

The spelling of 90289300 in words is "ninety million, two hundred eighty-nine thousand, three hundred".