85911700 has 108 divisors (see below), whose sum is σ = 220415580. Its totient is φ = 28976640.

The previous prime is 85911689. The next prime is 85911701. The reversal of 85911700 is 711958.

It can be written as a sum of positive squares in 6 ways, for example, as 15876 + 85895824 = 126^2 + 9268^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85911701) 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 35 ways as a sum of consecutive naturals, for example, 436002 + ... + 436198.

It is an arithmetic number, because the mean of its divisors is an integer number (2040885).

Almost surely, 2^85911700 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 85911700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110207790).

85911700 is an abundant number, since it is smaller than the sum of its proper divisors (134503880).

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

85911700 is a wasteful number, since it uses less digits than its factorization.

85911700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 31.

The square root of 85911700 is about 9268.8564558957. The cubic root of 85911700 is about 441.2493760474.

The spelling of 85911700 in words is "eighty-five million, nine hundred eleven thousand, seven hundred".