85005984 has 144 divisors (see below), whose sum is σ = 275099328. Its totient is φ = 22837248.

The previous prime is 85005979. The next prime is 85006007. The reversal of 85005984 is 48950058.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79437 + ... + 80499.

It is an arithmetic number, because the mean of its divisors is an integer number (1910412).

Almost surely, 2^85005984 is an apocalyptic number.

85005984 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85005984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137549664).

85005984 is an abundant number, since it is smaller than the sum of its proper divisors (190093344).

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

85005984 is a wasteful number, since it uses less digits than its factorization.

85005984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 85005984 is about 9219.8689795463. The cubic root of 85005984 is about 439.6932848673.

The spelling of 85005984 in words is "eighty-five million, five thousand, nine hundred eighty-four".