90573300 has 108 divisors (see below), whose sum is σ = 286150956. Its totient is φ = 23961600.

The previous prime is 90573283. The next prime is 90573317. The reversal of 90573300 is 337509.

90573300 is a `hidden beast` number, since 90 + 573 + 3 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (90573283) and next prime (90573317).

It can be written as a sum of positive squares in 6 ways, for example, as 19044 + 90554256 = 138^2 + 9516^2 .

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 140980 + ... + 141620.

Almost surely, 2^90573300 is an apocalyptic number.

90573300 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 90573300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143075478).

90573300 is an abundant number, since it is smaller than the sum of its proper divisors (195577656).

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

90573300 is a wasteful number, since it uses less digits than its factorization.

90573300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 27.

The square root of 90573300 is about 9517.0005779132. Note that the first 3 decimals coincide. The cubic root of 90573300 is about 449.0900129223.

The spelling of 90573300 in words is "ninety million, five hundred seventy-three thousand, three hundred".