90240165 has 48 divisors (see below), whose sum is σ = 166795200. Its totient is φ = 44975616.

The previous prime is 90240149. The next prime is 90240169. The reversal of 90240165 is 56104209.

It is not a de Polignac number, because 90240165 - 2⁴ = 90240149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90240169) 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 47 ways as a sum of consecutive naturals, for example, 136606 + ... + 137264.

It is an arithmetic number, because the mean of its divisors is an integer number (3474900).

Almost surely, 2^90240165 is an apocalyptic number.

It is an amenable number.

90240165 is a deficient number, since it is larger than the sum of its proper divisors (76555035).

90240165 is a wasteful number, since it uses less digits than its factorization.

90240165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 90240165 is about 9499.4823543180. The cubic root of 90240165 is about 448.5387415593.

The spelling of 90240165 in words is "ninety million, two hundred forty thousand, one hundred sixty-five".