85870160 has 40 divisors (see below), whose sum is σ = 206538120. Its totient is φ = 33162752.

The previous prime is 85870157. The next prime is 85870163. The reversal of 85870160 is 6107858.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85870157) and next prime (85870163).

It can be written as a sum of positive squares in 4 ways, for example, as 9412624 + 76457536 = 3068^2 + 8744^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 85870160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85870163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16187 + ... + 20826.

It is an arithmetic number, because the mean of its divisors is an integer number (5163453).

Almost surely, 2^85870160 is an apocalyptic number.

85870160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85870160 is an abundant number, since it is smaller than the sum of its proper divisors (120667960).

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

85870160 is a wasteful number, since it uses less digits than its factorization.

85870160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37055 (or 37049 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 35.

The square root of 85870160 is about 9266.6153475797. The cubic root of 85870160 is about 441.1782469924.

The spelling of 85870160 in words is "eighty-five million, eight hundred seventy thousand, one hundred sixty".