90984 has 32 divisors (see below), whose sum is σ = 241920. Its totient is φ = 28416.

The previous prime is 90977. The next prime is 90989. The reversal of 90984 is 48909.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 90984.

It is not an unprimeable number, because it can be changed into a prime (90989) by changing a digit.

90984 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 297 + ... + 519.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2⁹⁰⁹⁸⁴ 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 90984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960).

90984 is an abundant number, since it is smaller than the sum of its proper divisors (150936).

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

90984 is a wasteful number, since it uses less digits than its factorization.

90984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 90984 is about 301.6355416724. The cubic root of 90984 is about 44.9767781421.

The spelling of 90984 in words is "ninety thousand, nine hundred eighty-four".