90243168 has 72 divisors (see below), whose sum is σ = 247774968. Its totient is φ = 28756992.

The previous prime is 90243151. The next prime is 90243193. The reversal of 90243168 is 86134209.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49896 + ... + 51672.

It is an arithmetic number, because the mean of its divisors is an integer number (3441319).

Almost surely, 2^90243168 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 90243168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123887484).

90243168 is an abundant number, since it is smaller than the sum of its proper divisors (157531800).

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

90243168 is a wasteful number, since it uses less digits than its factorization.

90243168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 90243168 is about 9499.6404142473. The cubic root of 90243168 is about 448.5437169746.

The spelling of 90243168 in words is "ninety million, two hundred forty-three thousand, one hundred sixty-eight".