85844000 has 96 divisors (see below), whose sum is σ = 230211072. Its totient is φ = 31200000.

The previous prime is 85843987. The next prime is 85844009. The reversal of 85844000 is 44858.

It is not an unprimeable number, because it can be changed into a prime (85844009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43025 + ... + 44975.

It is an arithmetic number, because the mean of its divisors is an integer number (2398032).

Almost surely, 2^85844000 is an apocalyptic number.

85844000 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 85844000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115105536).

85844000 is an abundant number, since it is smaller than the sum of its proper divisors (144367072).

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

85844000 is a wasteful number, since it uses less digits than its factorization.

85844000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 85844000 is about 9265.2037214516. The cubic root of 85844000 is about 441.1334413807.

Adding to 85844000 its reverse (44858), we get a palindrome (85888858).

The spelling of 85844000 in words is "eighty-five million, eight hundred forty-four thousand".