90881568 has 96 divisors (see below), whose sum is σ = 266716800. Its totient is φ = 30106368.

The previous prime is 90881513. The next prime is 90881573. The reversal of 90881568 is 86518809.

90881568 is a `hidden beast` number, since 9 + 0 + 8 + 81 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 252973 + ... + 253331.

It is an arithmetic number, because the mean of its divisors is an integer number (2778300).

Almost surely, 2^90881568 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 90881568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133358400).

90881568 is an abundant number, since it is smaller than the sum of its proper divisors (175835232).

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

90881568 is a wasteful number, since it uses less digits than its factorization.

90881568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 90881568 is about 9533.1824696688. The cubic root of 90881568 is about 449.5989315375.

The spelling of 90881568 in words is "ninety million, eight hundred eighty-one thousand, five hundred sixty-eight".