90035568 has 120 divisors (see below), whose sum is σ = 290160000. Its totient is φ = 25529472.

The previous prime is 90035567. The next prime is 90035579. The reversal of 90035568 is 86553009.

90035568 is a `hidden beast` number, since 90 + 0 + 3 + 5 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90035567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180183 + ... + 180681.

It is an arithmetic number, because the mean of its divisors is an integer number (2418000).

Almost surely, 2^90035568 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 90035568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145080000).

90035568 is an abundant number, since it is smaller than the sum of its proper divisors (200124432).

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

90035568 is a wasteful number, since it uses less digits than its factorization.

90035568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 90035568 is about 9488.7073935284. The cubic root of 90035568 is about 448.1995019191.

The spelling of 90035568 in words is "ninety million, thirty-five thousand, five hundred sixty-eight".