85328960 has 56 divisors (see below), whose sum is σ = 205359000. Its totient is φ = 33767424.

The previous prime is 85328951. The next prime is 85328977. The reversal of 85328960 is 6982358.

It can be written as a sum of positive squares in 4 ways, for example, as 541696 + 84787264 = 736^2 + 9208^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 29666 + ... + 32414.

It is an arithmetic number, because the mean of its divisors is an integer number (3667125).

Almost surely, 2^85328960 is an apocalyptic number.

85328960 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 85328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102679500).

85328960 is an abundant number, since it is smaller than the sum of its proper divisors (120030040).

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

85328960 is a wasteful number, since it uses less digits than its factorization.

85328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2863 (or 2853 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 85328960 is about 9237.3675903907. The cubic root of 85328960 is about 440.2494453343.

The spelling of 85328960 in words is "eighty-five million, three hundred twenty-eight thousand, nine hundred sixty".