85984000 has 72 divisors (see below), whose sum is σ = 214276608. Its totient is φ = 34380800.

The previous prime is 85983983. The next prime is 85984007. The reversal of 85984000 is 48958.

It is not an unprimeable number, because it can be changed into a prime (85984007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30657 + ... + 33343.

It is an arithmetic number, because the mean of its divisors is an integer number (2976064).

Almost surely, 2^85984000 is an apocalyptic number.

85984000 is a gapful number since it is divisible by the number (80) 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 85984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107138304).

85984000 is an abundant number, since it is smaller than the sum of its proper divisors (128292608).

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

85984000 is an equidigital number, since it uses as much as digits as its factorization.

85984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2718 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 85984000 is about 9272.7557931825. The cubic root of 85984000 is about 441.3731208723.

The spelling of 85984000 in words is "eighty-five million, nine hundred eighty-four thousand".