85539168 has 288 divisors, whose sum is σ = 299400192. Its totient is φ = 22809600.

The previous prime is 85539149. The next prime is 85539211. The reversal of 85539168 is 86193558.

85539168 is a `hidden beast` number, since 8 + 553 + 91 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1276671 + ... + 1276737.

It is an arithmetic number, because the mean of its divisors is an integer number (1039584).

Almost surely, 2^85539168 is an apocalyptic number.

85539168 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85539168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149700096).

85539168 is an abundant number, since it is smaller than the sum of its proper divisors (213861024).

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

85539168 is a wasteful number, since it uses less digits than its factorization.

85539168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 127 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 85539168 is about 9248.7387248208. The cubic root of 85539168 is about 440.6106672266.

The spelling of 85539168 in words is "eighty-five million, five hundred thirty-nine thousand, one hundred sixty-eight".