90500800 has 168 divisors, whose sum is σ = 253542800. Its totient is φ = 31518720.

The previous prime is 90500797. The next prime is 90500821. The reversal of 90500800 is 800509.

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 23 ways as a sum of consecutive naturals, for example, 395086 + ... + 395314.

Almost surely, 2^90500800 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 90500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126771400).

90500800 is an abundant number, since it is smaller than the sum of its proper divisors (163042000).

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

90500800 is a wasteful number, since it uses less digits than its factorization.

90500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 90500800 is about 9513.1908421938. The cubic root of 90500800 is about 448.9701552410.

The spelling of 90500800 in words is "ninety million, five hundred thousand, eight hundred".