90844320 has 192 divisors, whose sum is σ = 344494080. Its totient is φ = 19657728.

The previous prime is 90844261. The next prime is 90844321. The reversal of 90844320 is 2344809.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (90844321) by changing a digit.

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, 63129 + ... + 64551.

It is an arithmetic number, because the mean of its divisors is an integer number (1794240).

Almost surely, 2^90844320 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 90844320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172247040).

90844320 is an abundant number, since it is smaller than the sum of its proper divisors (253649760).

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

90844320 is a wasteful number, since it uses less digits than its factorization.

90844320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 90844320 is about 9531.2286721073. The cubic root of 90844320 is about 449.5375001245.

The spelling of 90844320 in words is "ninety million, eight hundred forty-four thousand, three hundred twenty".