85821984 has 96 divisors (see below), whose sum is σ = 265083840. Its totient is φ = 26919936.

The previous prime is 85821977. The next prime is 85822007. The reversal of 85821984 is 48912858.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11767 + ... + 17609.

It is an arithmetic number, because the mean of its divisors is an integer number (2761290).

Almost surely, 2^85821984 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 85821984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132541920).

85821984 is an abundant number, since it is smaller than the sum of its proper divisors (179261856).

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

85821984 is a wasteful number, since it uses less digits than its factorization.

85821984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5879 (or 5865 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 85821984 is about 9264.0155440284. The cubic root of 85821984 is about 441.0957263619.

The spelling of 85821984 in words is "eighty-five million, eight hundred twenty-one thousand, nine hundred eighty-four".