85328160 has 192 divisors, whose sum is σ = 287400960. Its totient is φ = 21232640.

The previous prime is 85328153. The next prime is 85328161. The reversal of 85328160 is 6182358.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (85328161) 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 31 ways as a sum of consecutive naturals, for example, 651295 + ... + 651425.

It is an arithmetic number, because the mean of its divisors is an integer number (1496880).

Almost surely, 2^85328160 is an apocalyptic number.

85328160 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 85328160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143700480).

85328160 is an abundant number, since it is smaller than the sum of its proper divisors (202072800).

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

85328160 is a wasteful number, since it uses less digits than its factorization.

85328160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 85328160 is about 9237.3242879094. The cubic root of 85328160 is about 440.2480694800.

The spelling of 85328160 in words is "eighty-five million, three hundred twenty-eight thousand, one hundred sixty".