85239168 has 128 divisors (see below), whose sum is σ = 272544000. Its totient is φ = 23058432.

The previous prime is 85239163. The next prime is 85239169. The reversal of 85239168 is 86193258.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×85239168² = 14531431522664448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85239163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50238 + ... + 51906.

It is an arithmetic number, because the mean of its divisors is an integer number (2129250).

Almost surely, 2^85239168 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 85239168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136272000).

85239168 is an abundant number, since it is smaller than the sum of its proper divisors (187304832).

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

85239168 is a wasteful number, since it uses less digits than its factorization.

85239168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1700 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 85239168 is about 9232.5060519883. The cubic root of 85239168 is about 440.0949657279.

The spelling of 85239168 in words is "eighty-five million, two hundred thirty-nine thousand, one hundred sixty-eight".