85084360 has 48 divisors (see below), whose sum is σ = 200174940. Its totient is φ = 32545920.

The previous prime is 85084357. The next prime is 85084361. The reversal of 85084360 is 6348058.

It can be written as a sum of positive squares in 2 ways, for example, as 75585636 + 9498724 = 8694^2 + 3082^2 .

It is not an unprimeable number, because it can be changed into a prime (85084361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19150 + ... + 23170.

Almost surely, 2^85084360 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 85084360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100087470).

85084360 is an abundant number, since it is smaller than the sum of its proper divisors (115090580).

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

85084360 is a wasteful number, since it uses less digits than its factorization.

85084360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4078 (or 4051 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 85084360 is about 9224.1183860573. The cubic root of 85084360 is about 439.8283765926.

The spelling of 85084360 in words is "eighty-five million, eighty-four thousand, three hundred sixty".