90665568 has 240 divisors, whose sum is σ = 321995520. Its totient is φ = 24447744.

The previous prime is 90665537. The next prime is 90665611. The reversal of 90665568 is 86556609.

90665568 is a `hidden beast` number, since 90 + 6 + 6 + 556 + 8 = 666.

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 39 ways as a sum of consecutive naturals, for example, 344605 + ... + 344867.

It is an arithmetic number, because the mean of its divisors is an integer number (1341648).

Almost surely, 2^90665568 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 90665568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160997760).

90665568 is an abundant number, since it is smaller than the sum of its proper divisors (231329952).

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

90665568 is a wasteful number, since it uses less digits than its factorization.

90665568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 90665568 is about 9521.8468796762. The cubic root of 90665568 is about 449.2424587852.

The spelling of 90665568 in words is "ninety million, six hundred sixty-five thousand, five hundred sixty-eight".