85188120 has 32 divisors (see below), whose sum is σ = 255564720. Its totient is φ = 22716800.

The previous prime is 85188091. The next prime is 85188127. The reversal of 85188120 is 2188158.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85188127) 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 7 ways as a sum of consecutive naturals, for example, 354831 + ... + 355070.

Almost surely, 2^85188120 is an apocalyptic number.

It is an amenable number.

85188120 is an abundant number, since it is smaller than the sum of its proper divisors (170376600).

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

85188120 is a wasteful number, since it uses less digits than its factorization.

85188120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709915 (or 709911 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 33.

The square root of 85188120 is about 9229.7410581229. The cubic root of 85188120 is about 440.0070935496.

The spelling of 85188120 in words is "eighty-five million, one hundred eighty-eight thousand, one hundred twenty".