85058700 has 72 divisors (see below), whose sum is σ = 247223760. Its totient is φ = 22579200.

The previous prime is 85058681. The next prime is 85058717. The reversal of 85058700 is 785058.

85058700 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

85058700 is strictly pandigital in base 9.

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 23 ways as a sum of consecutive naturals, for example, 83796 + ... + 84804.

Almost surely, 2^85058700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85058700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123611880).

85058700 is an abundant number, since it is smaller than the sum of its proper divisors (162165060).

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

85058700 is a wasteful number, since it uses less digits than its factorization.

85058700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The square root of 85058700 is about 9222.7273623370. The cubic root of 85058700 is about 439.7841572207.

It can be divided in two parts, 85058 and 700, that added together give a palindrome (85758).

The spelling of 85058700 in words is "eighty-five million, fifty-eight thousand, seven hundred".