90096160 has 192 divisors, whose sum is σ = 271724544. Its totient is φ = 27417600.

The previous prime is 90096101. The next prime is 90096217. The reversal of 90096160 is 6169009.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 874669 + ... + 874771.

It is an arithmetic number, because the mean of its divisors is an integer number (1415232).

Almost surely, 2^90096160 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 90096160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135862272).

90096160 is an abundant number, since it is smaller than the sum of its proper divisors (181628384).

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

90096160 is a wasteful number, since it uses less digits than its factorization.

90096160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 31.

The square root of 90096160 is about 9491.8997044849. The cubic root of 90096160 is about 448.3000222468.

The spelling of 90096160 in words is "ninety million, ninety-six thousand, one hundred sixty".