85091160 has 128 divisors (see below), whose sum is σ = 318297600. Its totient is φ = 17679360.

The previous prime is 85091119. The next prime is 85091173. The reversal of 85091160 is 6119058.

85091160 = T₄₆₃ + T₄₆₄ + ... + T₈₄₇.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 4636 + ... + 13844.

It is an arithmetic number, because the mean of its divisors is an integer number (2486700).

Almost surely, 2^85091160 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 85091160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159148800).

85091160 is an abundant number, since it is smaller than the sum of its proper divisors (233206440).

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

85091160 is a wasteful number, since it uses less digits than its factorization.

85091160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9241 (or 9237 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 85091160 is about 9224.4869776048. The cubic root of 85091160 is about 439.8400934083.

It can be divided in two parts, 8509 and 1160, that added together give a palindrome (9669).

The spelling of 85091160 in words is "eighty-five million, ninety-one thousand, one hundred sixty".