85115160 has 144 divisors (see below), whose sum is σ = 299754000. Its totient is φ = 20936448.

The previous prime is 85115159. The next prime is 85115161. The reversal of 85115160 is 6151158.

It is an interprime number because it is at equal distance from previous prime (85115159) and next prime (85115161).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85115161) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60141 + ... + 61539.

It is an arithmetic number, because the mean of its divisors is an integer number (2081625).

Almost surely, 2^85115160 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 85115160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149877000).

85115160 is an abundant number, since it is smaller than the sum of its proper divisors (214638840).

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

85115160 is a wasteful number, since it uses less digits than its factorization.

85115160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The square root of 85115160 is about 9225.7877712421. The cubic root of 85115160 is about 439.8814418866.

The spelling of 85115160 in words is "eighty-five million, one hundred fifteen thousand, one hundred sixty".