85168900 has 18 divisors (see below), whose sum is σ = 184816730. Its totient is φ = 34067520.

The previous prime is 85168879. The next prime is 85168901. The reversal of 85168900 is 986158.

It can be written as a sum of positive squares in 3 ways, for example, as 17040384 + 68128516 = 4128^2 + 8254^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 85168900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85168901) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 425745 + ... + 425944.

Almost surely, 2^85168900 is an apocalyptic number.

It is an amenable number.

85168900 is an abundant number, since it is smaller than the sum of its proper divisors (99647830).

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

85168900 is a wasteful number, since it uses less digits than its factorization.

85168900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851703 (or 851696 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The square root of 85168900 is about 9228.6998000802. The cubic root of 85168900 is about 439.9739998411.

It can be divided in two parts, 85168 and 900, that added together give a palindrome (86068).

The spelling of 85168900 in words is "eighty-five million, one hundred sixty-eight thousand, nine hundred".