85106160 has 240 divisors, whose sum is σ = 310292640. Its totient is φ = 21427200.

The previous prime is 85106137. The next prime is 85106171. The reversal of 85106160 is 6160158.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2075740 + ... + 2075780.

It is an arithmetic number, because the mean of its divisors is an integer number (1292886).

Almost surely, 2^85106160 is an apocalyptic number.

85106160 is a gapful number since it is divisible by the number (80) 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 85106160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155146320).

85106160 is an abundant number, since it is smaller than the sum of its proper divisors (225186480).

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

85106160 is a wasteful number, since it uses less digits than its factorization.

85106160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 85106160 is about 9225.2999951221. The cubic root of 85106160 is about 439.8659371182.

The spelling of 85106160 in words is "eighty-five million, one hundred six thousand, one hundred sixty".