85801120 has 48 divisors (see below), whose sum is σ = 203575680. Its totient is φ = 34173184.

The previous prime is 85801099. The next prime is 85801123. The reversal of 85801120 is 2110858.

It is not an unprimeable number, because it can be changed into a prime (85801123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 41061 + ... + 43099.

It is an arithmetic number, because the mean of its divisors is an integer number (4241160).

Almost surely, 2^85801120 is an apocalyptic number.

85801120 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 85801120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101787840).

85801120 is an abundant number, since it is smaller than the sum of its proper divisors (117774560).

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

85801120 is a wasteful number, since it uses less digits than its factorization.

85801120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 25.

The square root of 85801120 is about 9262.8893980226. The cubic root of 85801120 is about 441.0599788503.

Adding to 85801120 its reverse (2110858), we get a palindrome (87911978).

The spelling of 85801120 in words is "eighty-five million, eight hundred one thousand, one hundred twenty".