85821144 has 72 divisors (see below), whose sum is σ = 225391140. Its totient is φ = 27230400.

The previous prime is 85821137. The next prime is 85821149. The reversal of 85821144 is 44112858.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85821149) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 1406874 + ... + 1406934.

Almost surely, 2^85821144 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 85821144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112695570).

85821144 is an abundant number, since it is smaller than the sum of its proper divisors (139569996).

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

85821144 is a wasteful number, since it uses less digits than its factorization.

85821144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 97 counting only the distinct ones).

The product of its digits is 10240, while the sum is 33.

The square root of 85821144 is about 9263.9702072060. The cubic root of 85821144 is about 441.0942872527.

The spelling of 85821144 in words is "eighty-five million, eight hundred twenty-one thousand, one hundred forty-four".