85975188 has 72 divisors (see below), whose sum is σ = 229616352. Its totient is φ = 24884736.

The previous prime is 85975177. The next prime is 85975193. The reversal of 85975188 is 88157958.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 85975188.

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, 44131 + ... + 46037.

It is an arithmetic number, because the mean of its divisors is an integer number (3189116).

Almost surely, 2^85975188 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 85975188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114808176).

85975188 is an abundant number, since it is smaller than the sum of its proper divisors (143641164).

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

85975188 is a wasteful number, since it uses less digits than its factorization.

85975188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1942 counting only the distinct ones).

The product of its digits is 806400, while the sum is 51.

The square root of 85975188 is about 9272.2806256066. The cubic root of 85975188 is about 441.3580424359.

The spelling of 85975188 in words is "eighty-five million, nine hundred seventy-five thousand, one hundred eighty-eight".