90241984 has 112 divisors (see below), whose sum is σ = 222747840. Its totient is φ = 35512320.

The previous prime is 90241973. The next prime is 90242003. The reversal of 90241984 is 48914209.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 2201004 + ... + 2201044.

It is an arithmetic number, because the mean of its divisors is an integer number (1988820).

Almost surely, 2^90241984 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 90241984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111373920).

90241984 is an abundant number, since it is smaller than the sum of its proper divisors (132505856).

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

90241984 is an equidigital number, since it uses as much as digits as its factorization.

90241984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 90241984 is about 9499.5780958946. The cubic root of 90241984 is about 448.5417553189.

The spelling of 90241984 in words is "ninety million, two hundred forty-one thousand, nine hundred eighty-four".