85305580 has 36 divisors (see below), whose sum is σ = 181303920. Its totient is φ = 33715008.

The previous prime is 85305569. The next prime is 85305581. The reversal of 85305580 is 8550358.

It is a super-3 number, since 3×85305580³ (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (85305581) 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 11 ways as a sum of consecutive naturals, for example, 237441 + ... + 237799.

It is an arithmetic number, because the mean of its divisors is an integer number (5036220).

Almost surely, 2^85305580 is an apocalyptic number.

It is an amenable number.

85305580 is an abundant number, since it is smaller than the sum of its proper divisors (95998340).

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

85305580 is a wasteful number, since it uses less digits than its factorization.

85305580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 34.

The square root of 85305580 is about 9236.1019916413. The cubic root of 85305580 is about 440.2092324442.

The spelling of 85305580 in words is "eighty-five million, three hundred five thousand, five hundred eighty".