90173568 has 64 divisors (see below), whose sum is σ = 240516000. Its totient is φ = 29933568.

The previous prime is 90173561. The next prime is 90173579. The reversal of 90173568 is 86537109.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (90173561) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 172155 + ... + 172677.

Almost surely, 2^90173568 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 90173568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120258000).

90173568 is an abundant number, since it is smaller than the sum of its proper divisors (150342432).

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

90173568 is a wasteful number, since it uses less digits than its factorization.

90173568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 90173568 is about 9495.9764110912. The cubic root of 90173568 is about 448.4283742747.

The spelling of 90173568 in words is "ninety million, one hundred seventy-three thousand, five hundred sixty-eight".