90140160 has 240 divisors, whose sum is σ = 320010768. Its totient is φ = 21626880.

The previous prime is 90140159. The next prime is 90140189. The reversal of 90140160 is 6104109.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 929232 + ... + 929328.

Almost surely, 2^90140160 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 90140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160005384).

90140160 is an abundant number, since it is smaller than the sum of its proper divisors (229870608).

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

90140160 is a wasteful number, since it uses less digits than its factorization.

90140160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 90140160 is about 9494.2171873199. The cubic root of 90140160 is about 448.3729886966.

Adding to 90140160 its reverse (6104109), we get a palindrome (96244269).

The spelling of 90140160 in words is "ninety million, one hundred forty thousand, one hundred sixty".