90165824 has 56 divisors (see below), whose sum is σ = 216529920. Its totient is φ = 36366336.

The previous prime is 90165821. The next prime is 90165851. The reversal of 90165824 is 42856109.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90165821) 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, 1697 + ... + 13535.

Almost surely, 2^90165824 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 90165824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108264960).

90165824 is an abundant number, since it is smaller than the sum of its proper divisors (126364096).

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

90165824 is a wasteful number, since it uses less digits than its factorization.

90165824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11875 (or 11865 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 90165824 is about 9495.5686506918. The cubic root of 90165824 is about 448.4155370734.

The spelling of 90165824 in words is "ninety million, one hundred sixty-five thousand, eight hundred twenty-four".