90537984 has 96 divisors (see below), whose sum is σ = 262402140. Its totient is φ = 30081024.

The previous prime is 90537947. The next prime is 90537991. The reversal of 90537984 is 48973509.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 294759 + ... + 295065.

Almost surely, 2^90537984 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 90537984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131201070).

90537984 is an abundant number, since it is smaller than the sum of its proper divisors (171864156).

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

90537984 is an equidigital number, since it uses as much as digits as its factorization.

90537984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 90537984 is about 9515.1449805035. The cubic root of 90537984 is about 449.0316361722.

The spelling of 90537984 in words is "ninety million, five hundred thirty-seven thousand, nine hundred eighty-four".