90003168 has 144 divisors (see below), whose sum is σ = 280215936. Its totient is φ = 27279360.

The previous prime is 90003161. The next prime is 90003181. The reversal of 90003168 is 86130009.

It is a Cunningham number, because it is equal to 9487²-1.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90003161) 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, 151480 + ... + 152072.

It is an arithmetic number, because the mean of its divisors is an integer number (1945944).

Almost surely, 2^90003168 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 90003168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140107968).

90003168 is an abundant number, since it is smaller than the sum of its proper divisors (190212768).

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

90003168 is a wasteful number, since it uses less digits than its factorization.

90003168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 90003168 is about 9486.9999472963. Note that the first 4 decimals coincide. The cubic root of 90003168 is about 448.1457327756.

The spelling of 90003168 in words is "ninety million, three thousand, one hundred sixty-eight".