85322160 has 560 divisors, whose sum is σ = 390332160. Its totient is φ = 16796160.

The previous prime is 85322131. The next prime is 85322161. The reversal of 85322160 is 6122358.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (85322161) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 4490631 + ... + 4490649.

Almost surely, 2^85322160 is an apocalyptic number.

85322160 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 85322160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195166080).

85322160 is an abundant number, since it is smaller than the sum of its proper divisors (305010000).

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

85322160 is a wasteful number, since it uses less digits than its factorization.

85322160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 85322160 is about 9236.9995128288. Note that the first 3 decimals coincide. The cubic root of 85322160 is about 440.2377502984.

The spelling of 85322160 in words is "eighty-five million, three hundred twenty-two thousand, one hundred sixty".