90535900 has 72 divisors (see below), whose sum is σ = 241824800. Its totient is φ = 28650240.

The previous prime is 90535859. The next prime is 90535901. The reversal of 90535900 is 953509.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90535901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4126 + ... + 14074.

Almost surely, 2^90535900 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 90535900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120912400).

90535900 is an abundant number, since it is smaller than the sum of its proper divisors (151288900).

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

90535900 is a wasteful number, since it uses less digits than its factorization.

90535900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9983 (or 9976 counting only the distinct ones).

The product of its (nonzero) digits is 6075, while the sum is 31.

The square root of 90535900 is about 9515.0354702439. The cubic root of 90535900 is about 449.0281908811.

The spelling of 90535900 in words is "ninety million, five hundred thirty-five thousand, nine hundred".