85188900 has 72 divisors (see below), whose sum is σ = 247421664. Its totient is φ = 22630400.

The previous prime is 85188889. The next prime is 85188923. The reversal of 85188900 is 988158.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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, 132580 + ... + 133220.

It is an arithmetic number, because the mean of its divisors is an integer number (3436412).

Almost surely, 2^85188900 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 85188900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123710832).

85188900 is an abundant number, since it is smaller than the sum of its proper divisors (162232764).

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

85188900 is a wasteful number, since it uses less digits than its factorization.

85188900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 39.

The square root of 85188900 is about 9229.7833127328. The cubic root of 85188900 is about 440.0084364774.

The spelling of 85188900 in words is "eighty-five million, one hundred eighty-eight thousand, nine hundred".