85534596 has 96 divisors (see below), whose sum is σ = 258720000. Its totient is φ = 24427872.

The previous prime is 85534583. The next prime is 85534597. The reversal of 85534596 is 69543558.

85534596 is a `hidden beast` number, since 8 + 5 + 53 + 4 + 596 = 666.

It is a super-2 number, since 2×85534596² = 14632334225766432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85534597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35890 + ... + 38198.

It is an arithmetic number, because the mean of its divisors is an integer number (2695000).

Almost surely, 2^85534596 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 85534596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129360000).

85534596 is an abundant number, since it is smaller than the sum of its proper divisors (173185404).

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

85534596 is a wasteful number, since it uses less digits than its factorization.

85534596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2343 (or 2321 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 85534596 is about 9248.4915526804. The cubic root of 85534596 is about 440.6028169910.

The spelling of 85534596 in words is "eighty-five million, five hundred thirty-four thousand, five hundred ninety-six".