90827568 has 140 divisors (see below), whose sum is σ = 284617200. Its totient is φ = 27900288.

The previous prime is 90827533. The next prime is 90827573. The reversal of 90827568 is 86572809.

90827568 is a `hidden beast` number, since 9 + 0 + 82 + 7 + 568 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 151333 + ... + 151931.

It is an arithmetic number, because the mean of its divisors is an integer number (2032980).

Almost surely, 2^90827568 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 90827568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142308600).

90827568 is an abundant number, since it is smaller than the sum of its proper divisors (193789632).

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

90827568 is a wasteful number, since it uses less digits than its factorization.

90827568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 90827568 is about 9530.3498361813. The cubic root of 90827568 is about 449.5098663472.

The spelling of 90827568 in words is "ninety million, eight hundred twenty-seven thousand, five hundred sixty-eight".