85118364 has 60 divisors (see below), whose sum is σ = 230214600. Its totient is φ = 27391392.

The previous prime is 85118359. The next prime is 85118413. The reversal of 85118364 is 46381158.

85118364 is a `hidden beast` number, since 8 + 511 + 83 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 19 ways as a sum of consecutive naturals, for example, 4867 + ... + 13925.

It is an arithmetic number, because the mean of its divisors is an integer number (3836910).

Almost surely, 2^85118364 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 85118364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115107300).

85118364 is an abundant number, since it is smaller than the sum of its proper divisors (145096236).

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

85118364 is a wasteful number, since it uses less digits than its factorization.

85118364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9104 (or 9093 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 85118364 is about 9225.9614133162. The cubic root of 85118364 is about 439.8869613203.

The spelling of 85118364 in words is "eighty-five million, one hundred eighteen thousand, three hundred sixty-four".