90185984 has 72 divisors (see below), whose sum is σ = 209469120. Its totient is φ = 37951488.

The previous prime is 90185971. The next prime is 90185987. The reversal of 90185984 is 48958109.

It is not an unprimeable number, because it can be changed into a prime (90185987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105302 + ... + 106154.

Almost surely, 2^90185984 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 90185984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104734560).

90185984 is an abundant number, since it is smaller than the sum of its proper divisors (119283136).

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

90185984 is an equidigital number, since it uses as much as digits as its factorization.

90185984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 44.

The square root of 90185984 is about 9496.6301391599. The cubic root of 90185984 is about 448.4489547002.

The spelling of 90185984 in words is "ninety million, one hundred eighty-five thousand, nine hundred eighty-four".