85189300 has 72 divisors (see below), whose sum is σ = 213111360. Its totient is φ = 28953600.

The previous prime is 85189297. The next prime is 85189337. The reversal of 85189300 is 398158.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 91236 + ... + 92164.

It is an arithmetic number, because the mean of its divisors is an integer number (2959880).

Almost surely, 2^85189300 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 85189300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106555680).

85189300 is an abundant number, since it is smaller than the sum of its proper divisors (127922060).

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

85189300 is a wasteful number, since it uses less digits than its factorization.

85189300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 85189300 is about 9229.8049816884. The cubic root of 85189300 is about 440.0091251551.

The spelling of 85189300 in words is "eighty-five million, one hundred eighty-nine thousand, three hundred".