85188096 has 240 divisors, whose sum is σ = 297897600. Its totient is φ = 22892544.

The previous prime is 85188091. The next prime is 85188127. The reversal of 85188096 is 69088158.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 85188096 = 16³ + 440³ = 268³ + 404³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85188091) 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 23 ways as a sum of consecutive naturals, for example, 612795 + ... + 612933.

It is an arithmetic number, because the mean of its divisors is an integer number (1241240).

Almost surely, 2^85188096 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 85188096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148948800).

85188096 is an abundant number, since it is smaller than the sum of its proper divisors (212709504).

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

85188096 is a wasteful number, since it uses less digits than its factorization.

85188096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 85188096 is about 9229.7397579780. The cubic root of 85188096 is about 440.0070522286.

The spelling of 85188096 in words is "eighty-five million, one hundred eighty-eight thousand, ninety-six".