90036300 has 144 divisors (see below), whose sum is σ = 274982400. Its totient is φ = 22713600.

The previous prime is 90036299. The next prime is 90036311. The reversal of 90036300 is 363009.

90036300 = T₁₀₄ + T₁₀₅ + ... + T₈₁₄.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 687235 + ... + 687365.

It is an arithmetic number, because the mean of its divisors is an integer number (1909600).

Almost surely, 2^90036300 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 90036300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137491200).

90036300 is an abundant number, since it is smaller than the sum of its proper divisors (184946100).

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

90036300 is a wasteful number, since it uses less digits than its factorization.

90036300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

The square root of 90036300 is about 9488.7459656163. The cubic root of 90036300 is about 448.2007165544.

Adding to 90036300 its reverse (363009), we get a palindrome (90399309).

The spelling of 90036300 in words is "ninety million, thirty-six thousand, three hundred".