85821120 has 560 divisors, whose sum is σ = 389461248. Its totient is φ = 17418240.

The previous prime is 85821091. The next prime is 85821137. The reversal of 85821120 is 2112858.

It is a tau number, because it is divible by the number of its divisors (560).

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

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 79 ways as a sum of consecutive naturals, for example, 1995819 + ... + 1995861.

Almost surely, 2^85821120 is an apocalyptic number.

85821120 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 85821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194730624).

85821120 is an abundant number, since it is smaller than the sum of its proper divisors (303640128).

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

85821120 is a wasteful number, since it uses less digits than its factorization.

85821120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 85821120 is about 9263.9689118649. The cubic root of 85821120 is about 441.0942461352.

Adding to 85821120 its reverse (2112858), we get a palindrome (87933978).

The spelling of 85821120 in words is "eighty-five million, eight hundred twenty-one thousand, one hundred twenty".