85696160 has 192 divisors, whose sum is σ = 241678080. Its totient is φ = 28385280.

The previous prime is 85696159. The next prime is 85696211. The reversal of 85696160 is 6169658.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1173884 + ... + 1173956.

It is an arithmetic number, because the mean of its divisors is an integer number (1258740).

Almost surely, 2^85696160 is an apocalyptic number.

85696160 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 85696160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120839040).

85696160 is an abundant number, since it is smaller than the sum of its proper divisors (155981920).

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

85696160 is a wasteful number, since it uses less digits than its factorization.

85696160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 85696160 is about 9257.2220455167. Note that the first 3 decimals coincide. The cubic root of 85696160 is about 440.8800567811.

The spelling of 85696160 in words is "eighty-five million, six hundred ninety-six thousand, one hundred sixty".