85306560 has 56 divisors (see below), whose sum is σ = 270851376. Its totient is φ = 22748160.

The previous prime is 85306549. The next prime is 85306577. The reversal of 85306560 is 6560358.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 43471 + ... + 45390.

Almost surely, 2^85306560 is an apocalyptic number.

85306560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85306560 is an abundant number, since it is smaller than the sum of its proper divisors (185544816).

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

85306560 is a wasteful number, since it uses less digits than its factorization.

85306560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88881 (or 88871 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 85306560 is about 9236.1550441729. The cubic root of 85306560 is about 440.2109181620.

The spelling of 85306560 in words is "eighty-five million, three hundred six thousand, five hundred sixty".