85078170 has 96 divisors (see below), whose sum is σ = 235282320. Its totient is φ = 21288960.

The previous prime is 85078159. The next prime is 85078171. The reversal of 85078170 is 7187058.

85078170 is a `hidden beast` number, since 8 + 507 + 81 + 70 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 41873841 + 43204329 = 6471^2 + 6573^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85078171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96130 + ... + 97010.

Almost surely, 2^85078170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85078170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117641160).

85078170 is an abundant number, since it is smaller than the sum of its proper divisors (150204150).

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

85078170 is a wasteful number, since it uses less digits than its factorization.

85078170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The square root of 85078170 is about 9223.7828465332. The cubic root of 85078170 is about 439.8177103014.

The spelling of 85078170 in words is "eighty-five million, seventy-eight thousand, one hundred seventy".