85075984 has 80 divisors (see below), whose sum is σ = 195987456. Its totient is φ = 35020800.

The previous prime is 85075981. The next prime is 85075993. The reversal of 85075984 is 48957058.

It is not an unprimeable number, because it can be changed into a prime (85075981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445329 + ... + 445519.

Almost surely, 2^85075984 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 85075984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97993728).

85075984 is an abundant number, since it is smaller than the sum of its proper divisors (110911472).

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

85075984 is a wasteful number, since it uses less digits than its factorization.

85075984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 46.

The square root of 85075984 is about 9223.6643477525. The cubic root of 85075984 is about 439.8139433745.

The spelling of 85075984 in words is "eighty-five million, seventy-five thousand, nine hundred eighty-four".