90384336 has 200 divisors, whose sum is σ = 307521984. Its totient is φ = 25194240.

The previous prime is 90384331. The next prime is 90384361. The reversal of 90384336 is 63348309.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 90384336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90384331) 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 39 ways as a sum of consecutive naturals, for example, 2204476 + ... + 2204516.

Almost surely, 2^90384336 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 90384336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153760992).

90384336 is an abundant number, since it is smaller than the sum of its proper divisors (217137648).

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

90384336 is an frugal number, since it uses more digits than its factorization.

90384336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 90384336 is about 9507.0676867265. The cubic root of 90384336 is about 448.7774817836. Note that the first 3 decimals are identical.

The spelling of 90384336 in words is "ninety million, three hundred eighty-four thousand, three hundred thirty-six".