90096168 has 64 divisors (see below), whose sum is σ = 235468800. Its totient is φ = 28693440.

The previous prime is 90096101. The next prime is 90096217. The reversal of 90096168 is 86169009.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61023 + ... + 62481.

It is an arithmetic number, because the mean of its divisors is an integer number (3679200).

Almost surely, 2^90096168 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 90096168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117734400).

90096168 is an abundant number, since it is smaller than the sum of its proper divisors (145372632).

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

90096168 is a wasteful number, since it uses less digits than its factorization.

90096168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 90096168 is about 9491.9001258968. The cubic root of 90096168 is about 448.3000355156.

The spelling of 90096168 in words is "ninety million, ninety-six thousand, one hundred sixty-eight".