85364180 has 48 divisors (see below), whose sum is σ = 200866176. Its totient is φ = 30199680.

The previous prime is 85364179. The next prime is 85364183. The reversal of 85364180 is 8146358.

It is a self number, because there is not a number n which added to its sum of digits gives 85364180.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85364183) 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 15 ways as a sum of consecutive naturals, for example, 2897 + ... + 13383.

It is an arithmetic number, because the mean of its divisors is an integer number (4184712).

Almost surely, 2^85364180 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 85364180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100433088).

85364180 is an abundant number, since it is smaller than the sum of its proper divisors (115501996).

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

85364180 is a wasteful number, since it uses less digits than its factorization.

85364180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10544 (or 10542 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 85364180 is about 9239.2737809852. The cubic root of 85364180 is about 440.3100087999.

The spelling of 85364180 in words is "eighty-five million, three hundred sixty-four thousand, one hundred eighty".