85755168 has 72 divisors (see below), whose sum is σ = 245464128. Its totient is φ = 28397952.

The previous prime is 85755167. The next prime is 85755169. The reversal of 85755168 is 86155758.

It is an interprime number because it is at equal distance from previous prime (85755167) and next prime (85755169).

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (85755167) 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, 47205 + ... + 48987.

It is an arithmetic number, because the mean of its divisors is an integer number (3409224).

Almost surely, 2^85755168 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 85755168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122732064).

85755168 is an abundant number, since it is smaller than the sum of its proper divisors (159708960).

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

85755168 is a wasteful number, since it uses less digits than its factorization.

85755168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1955 counting only the distinct ones).

The product of its digits is 336000, while the sum is 45.

The square root of 85755168 is about 9260.4086302927. The cubic root of 85755168 is about 440.9812261587.

The spelling of 85755168 in words is "eighty-five million, seven hundred fifty-five thousand, one hundred sixty-eight".